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Finding the Fourth Proportional to 658.05, 908.28 and 422.16

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Solution

The fourth proportional to 658.05, 908.28 and 422.16 is: 582.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.05 : 908.28 = 422.16 : x
  2. Step 2: Convert to fraction form
    658.05/908.28 = 422.16/x
  3. Step 3: Cross multiply
    658.05x = 908.28 × 422.16
  4. Step 4: Simplify right side
    658.05x = 383,439.48
  5. Step 5: Solve for x
    x = 383,439.48/658.05
  6. Step 6: Final answer
    x = 582.69

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1.5x scale

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.