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Finding the Fourth Proportional to 747.43, 1,031.49 and 526.42

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Solution

The fourth proportional to 747.43, 1,031.49 and 526.42 is: 726.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.43 : 1,031.49 = 526.42 : x
  2. Step 2: Convert to fraction form
    747.43/1,031.49 = 526.42/x
  3. Step 3: Cross multiply
    747.43x = 1,031.49 × 526.42
  4. Step 4: Simplify right side
    747.43x = 542,996.97
  5. Step 5: Solve for x
    x = 542,996.97/747.43
  6. Step 6: Final answer
    x = 726.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.