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Finding the Fourth Proportional to 924.57, 1,387.71 and 513.12

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Solution

The fourth proportional to 924.57, 1,387.71 and 513.12 is: 770.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.57 : 1,387.71 = 513.12 : x
  2. Step 2: Convert to fraction form
    924.57/1,387.71 = 513.12/x
  3. Step 3: Cross multiply
    924.57x = 1,387.71 × 513.12
  4. Step 4: Simplify right side
    924.57x = 712,061.76
  5. Step 5: Solve for x
    x = 712,061.76/924.57
  6. Step 6: Final answer
    x = 770.15

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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.