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Finding the Fourth Proportional to 729.47, 1,092.98 and 512.66

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Solution

The fourth proportional to 729.47, 1,092.98 and 512.66 is: 768.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.47 : 1,092.98 = 512.66 : x
  2. Step 2: Convert to fraction form
    729.47/1,092.98 = 512.66/x
  3. Step 3: Cross multiply
    729.47x = 1,092.98 × 512.66
  4. Step 4: Simplify right side
    729.47x = 560,319.10
  5. Step 5: Solve for x
    x = 560,319.10/729.47
  6. Step 6: Final answer
    x = 768.12

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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.