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Finding the Fourth Proportional to 658.75, 908.65 and 396.71

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Solution

The fourth proportional to 658.75, 908.65 and 396.71 is: 547.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.75 : 908.65 = 396.71 : x
  2. Step 2: Convert to fraction form
    658.75/908.65 = 396.71/x
  3. Step 3: Cross multiply
    658.75x = 908.65 × 396.71
  4. Step 4: Simplify right side
    658.75x = 360,470.54
  5. Step 5: Solve for x
    x = 360,470.54/658.75
  6. Step 6: Final answer
    x = 547.20

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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.