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Finding the Fourth Proportional to 562.92, 770.12 and 560.48

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Solution

The fourth proportional to 562.92, 770.12 and 560.48 is: 766.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.92 : 770.12 = 560.48 : x
  2. Step 2: Convert to fraction form
    562.92/770.12 = 560.48/x
  3. Step 3: Cross multiply
    562.92x = 770.12 × 560.48
  4. Step 4: Simplify right side
    562.92x = 431,636.86
  5. Step 5: Solve for x
    x = 431,636.86/562.92
  6. Step 6: Final answer
    x = 766.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.