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Finding the Fourth Proportional to 562.20, 747.12 and 562.20

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Solution

The fourth proportional to 562.20, 747.12 and 562.20 is: 747.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.20 : 747.12 = 562.20 : x
  2. Step 2: Convert to fraction form
    562.20/747.12 = 562.20/x
  3. Step 3: Cross multiply
    562.20x = 747.12 × 562.20
  4. Step 4: Simplify right side
    562.20x = 420,030.86
  5. Step 5: Solve for x
    x = 420,030.86/562.20
  6. Step 6: Final answer
    x = 747.12

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.