Health & FitnessFour formulas compared

Ideal Weight Calculator

Four formulas, four different answers, and none of them is a medical target. They exist because clinicians needed a quick weight estimate for drug dosing — the healthy BMI range underneath is the figure actually used for health.

Your Height

Ideal body weight formulas take height and sex only — not age, frame or muscle.

Metric mode
cm
ft
in
Formulas below were derived separately for each
HEALTHY BMI RANGE
Devine (1974)
Robinson (1983)
Miller (1983)
Hamwi (1964)
Average of the four
Spread between them

Healthy range in detail

BMI 18.5 (lower bound)
BMI 24.9 (upper bound)
BMI 22 (mid-range)
Height used

These formulas were built for drug dosing, not for goals

The Devine formula appeared in 1974 in a paper about gentamicin dosing. Hamwi's came from a 1964 diabetes guide. Robinson and Miller both published revised versions in 1983 after comparing the originals against population data. None of them was validated as a health target, and none of them considers age, frame size, muscle mass or ethnicity — only height and sex.

They survive because a single number is convenient in a hospital. They spread into fitness culture because a single number is also convenient for selling things. Treat the spread between the four as what it is: evidence that no single “ideal” weight exists.

What the healthy BMI range actually says

Public health guidance uses a range, not a point: BMI 18.5 to 24.9 for adults. At 178 cm that is roughly 58.6 kg to 78.9 kg — a span of over 20 kg, all of it considered healthy. That width is deliberate. It reflects genuine variation in build between people of the same height, which a formula returning one number cannot express.

Where BMI stops being useful

BMI is a ratio of mass to height squared. It cannot tell muscle from fat, so it misclassifies very muscular people as overweight and can miss excess fat in people with little muscle. It was never designed for individuals — Quetelet devised it in the 1830s to describe populations. For an individual, waist measurement and body composition tell you more, and a clinician who can see you tells you more still.

Frequently Asked Questions

Which ideal weight formula is the most accurate?
None of them is "accurate" in a medical sense, because none was validated as a health target. They were built for drug dosing. The healthy BMI range shown alongside is the figure public health guidance actually uses.
Why do the four formulas disagree by several kilograms?
Because each was fitted to different data for a different purpose between 1964 and 1983. The disagreement is the useful signal: it shows there is no single correct weight for a given height.
Do these formulas work for very short or very tall people?
Poorly. All four are anchored at five feet and add a fixed amount per inch, so they drift at the extremes of height. The BMI range degrades at the extremes too, but less sharply.
Should I use this to set a weight loss goal?
No. Use it for orientation only, and set goals with a clinician who can account for your age, build, medical history and body composition.
Where these numbers come from

Sources

Official publications only. Links open the original document in a new tab.