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Finding the Fourth Proportional to 658.49, 908.43 and 422.02

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Solution

The fourth proportional to 658.49, 908.43 and 422.02 is: 582.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.49 : 908.43 = 422.02 : x
  2. Step 2: Convert to fraction form
    658.49/908.43 = 422.02/x
  3. Step 3: Cross multiply
    658.49x = 908.43 × 422.02
  4. Step 4: Simplify right side
    658.49x = 383,371.09
  5. Step 5: Solve for x
    x = 383,371.09/658.49
  6. Step 6: Final answer
    x = 582.20

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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.