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Finding the Fourth Proportional to 658.60, 908.96 and 378.84

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Solution

The fourth proportional to 658.60, 908.96 and 378.84 is: 522.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.60 : 908.96 = 378.84 : x
  2. Step 2: Convert to fraction form
    658.60/908.96 = 378.84/x
  3. Step 3: Cross multiply
    658.60x = 908.96 × 378.84
  4. Step 4: Simplify right side
    658.60x = 344,350.41
  5. Step 5: Solve for x
    x = 344,350.41/658.60
  6. Step 6: Final answer
    x = 522.85

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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.