The four formulas and why they differ
Each formula starts from a base weight for five feet of height and adds a fixed amount per inch over that. Devine adds 2.3 kg per inch over 5 feet, Hamwi adds 2.7 for men and 2.2 for women, Robinson less, Miller less still - so a tall person sees the disagreement grow with height as the per-inch multipliers compound.
All four were published as bedside guessing rules for dosing, not as health targets, which is exactly why presenting all of them together says more than picking one.
The disagreement between the four is not a bug; it is the honest product of each formula choosing a slightly different base weight and a slightly different per-inch multiplier. Because those add on every inch, the spread widens the taller the figure, which is why the page prints all four and why a single "ideal" number would be an act of selection rather than a measurement.