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Finding the Fourth Proportional to 747.43, 1,031.42 and 432.46

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Solution

The fourth proportional to 747.43, 1,031.42 and 432.46 is: 596.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.43 : 1,031.42 = 432.46 : x
  2. Step 2: Convert to fraction form
    747.43/1,031.42 = 432.46/x
  3. Step 3: Cross multiply
    747.43x = 1,031.42 × 432.46
  4. Step 4: Simplify right side
    747.43x = 446,045.73
  5. Step 5: Solve for x
    x = 446,045.73/747.43
  6. Step 6: Final answer
    x = 596.77

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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.