Finding the Fourth Proportional to 1,538.24, 2,307.12 and 512
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Solution
The fourth proportional to 1,538.24, 2,307.12 and 512 is: 767.92
Step by Step Solution
- Step 1: Write the proportion equation
1,538.24 : 2,307.12 = 512 : x - Step 2: Convert to fraction form
1,538.24/2,307.12 = 512/x - Step 3: Cross multiply
1,538.24x = 2,307.12 × 512 - Step 4: Simplify right side
1,538.24x = 1,181,245.44 - Step 5: Solve for x
x = 1,181,245.44/1,538.24 - Step 6: Final answer
x = 767.92
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.