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Finding the Fourth Proportional to 747.66, 1,031.54 and 468.12

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Solution

The fourth proportional to 747.66, 1,031.54 and 468.12 is: 645.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.66 : 1,031.54 = 468.12 : x
  2. Step 2: Convert to fraction form
    747.66/1,031.54 = 468.12/x
  3. Step 3: Cross multiply
    747.66x = 1,031.54 × 468.12
  4. Step 4: Simplify right side
    747.66x = 482,884.50
  5. Step 5: Solve for x
    x = 482,884.50/747.66
  6. Step 6: Final answer
    x = 645.86

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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.