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Finding the Fourth Proportional to 562.61, 839.62 and 501.11

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Solution

The fourth proportional to 562.61, 839.62 and 501.11 is: 747.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.61 : 839.62 = 501.11 : x
  2. Step 2: Convert to fraction form
    562.61/839.62 = 501.11/x
  3. Step 3: Cross multiply
    562.61x = 839.62 × 501.11
  4. Step 4: Simplify right side
    562.61x = 420,736.53
  5. Step 5: Solve for x
    x = 420,736.53/562.61
  6. Step 6: Final answer
    x = 747.83

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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.