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Finding the Fourth Proportional to 747.12, 1,031.04 and 452.37

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Solution

The fourth proportional to 747.12, 1,031.04 and 452.37 is: 624.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.12 : 1,031.04 = 452.37 : x
  2. Step 2: Convert to fraction form
    747.12/1,031.04 = 452.37/x
  3. Step 3: Cross multiply
    747.12x = 1,031.04 × 452.37
  4. Step 4: Simplify right side
    747.12x = 466,411.56
  5. Step 5: Solve for x
    x = 466,411.56/747.12
  6. Step 6: Final answer
    x = 624.28

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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.