The Pythagorean theorem applies to the sides of this right triangle.
... x² + (4/7)² = (5/7)²
... x² = 25/49 -16/49
... x = √(9/49)
... x = 3/7
The unknown side has length 3/7.
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You might recognize that this is a 3-4-5 right triangle with a scale factor of 1/7.
Let us assume the common ratio to be = x
Then
(1 * x) + (4 * x) = 50
x + 4x = 50
5x = 50
x = 50/5
= 10
So from the above deduction, we get the common ratio to be equal to 10
Then
The smallest number = 1 * x
= 1 * 10
= 10
Y=mx+b
M is the slope
B is the y intercept
In this case 4 is the slope and -9 is the y intercept
I believe 7/32
or an alternative form: 0.21875
