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Finding the Fourth Proportional to 562.87, 843.11 and 424.39

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Solution

The fourth proportional to 562.87, 843.11 and 424.39 is: 635.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.87 : 843.11 = 424.39 : x
  2. Step 2: Convert to fraction form
    562.87/843.11 = 424.39/x
  3. Step 3: Cross multiply
    562.87x = 843.11 × 424.39
  4. Step 4: Simplify right side
    562.87x = 357,805.33
  5. Step 5: Solve for x
    x = 357,805.33/562.87
  6. Step 6: Final answer
    x = 635.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.