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Finding the Fourth Proportional to 560.72, 838.18 and 462.80

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Solution

The fourth proportional to 560.72, 838.18 and 462.80 is: 691.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.72 : 838.18 = 462.80 : x
  2. Step 2: Convert to fraction form
    560.72/838.18 = 462.80/x
  3. Step 3: Cross multiply
    560.72x = 838.18 × 462.80
  4. Step 4: Simplify right side
    560.72x = 387,909.70
  5. Step 5: Solve for x
    x = 387,909.70/560.72
  6. Step 6: Final answer
    x = 691.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.