Finding the Fourth Proportional to 1,538.28, 2,307.36 and 384
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Solution
The fourth proportional to 1,538.28, 2,307.36 and 384 is: 575.99
Step by Step Solution
- Step 1: Write the proportion equation
1,538.28 : 2,307.36 = 384 : x - Step 2: Convert to fraction form
1,538.28/2,307.36 = 384/x - Step 3: Cross multiply
1,538.28x = 2,307.36 × 384 - Step 4: Simplify right side
1,538.28x = 886,026.24 - Step 5: Solve for x
x = 886,026.24/1,538.28 - Step 6: Final answer
x = 575.99
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.