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Finding the Fourth Proportional to 522.42, 724.24 and 494.68

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Solution

The fourth proportional to 522.42, 724.24 and 494.68 is: 685.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.42 : 724.24 = 494.68 : x
  2. Step 2: Convert to fraction form
    522.42/724.24 = 494.68/x
  3. Step 3: Cross multiply
    522.42x = 724.24 × 494.68
  4. Step 4: Simplify right side
    522.42x = 358,267.04
  5. Step 5: Solve for x
    x = 358,267.04/522.42
  6. Step 6: Final answer
    x = 685.78

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.