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Finding the Fourth Proportional to 658.63, 908.92 and 426.16

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Solution

The fourth proportional to 658.63, 908.92 and 426.16 is: 588.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.63 : 908.92 = 426.16 : x
  2. Step 2: Convert to fraction form
    658.63/908.92 = 426.16/x
  3. Step 3: Cross multiply
    658.63x = 908.92 × 426.16
  4. Step 4: Simplify right side
    658.63x = 387,338.67
  5. Step 5: Solve for x
    x = 387,338.67/658.63
  6. Step 6: Final answer
    x = 588.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.