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Finding the Fourth Proportional to 658.16, 908.30 and 425.28

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Solution

The fourth proportional to 658.16, 908.30 and 425.28 is: 586.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.16 : 908.30 = 425.28 : x
  2. Step 2: Convert to fraction form
    658.16/908.30 = 425.28/x
  3. Step 3: Cross multiply
    658.16x = 908.30 × 425.28
  4. Step 4: Simplify right side
    658.16x = 386,281.82
  5. Step 5: Solve for x
    x = 386,281.82/658.16
  6. Step 6: Final answer
    x = 586.91

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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.