Answer
The common ratio is $\frac{1}{4}$.
The next three numbers in the sequence are:
1 , $\frac{1}{4}$, $\frac{1}{16}$
Work Step by Step
The common ratio is $\frac{1}{4}$ because each number in the sequence is $\frac{1}{4}$ times more than the number before. In other words, each number in the sequence is multiplied by $\frac{1}{4}$.
To find the next three numbers, simply multiply the last known number by $\frac{1}{4}$ and then continue the pattern:
4 x $\frac{1}{4}$ = 1
1 x $\frac{1}{4}$ = $\frac{1}{4}$
$\frac{1}{4}$ x $\frac{1}{4}$ = $\frac{1}{16}$