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Finding the Fourth Proportional to 658.47, 908.65 and 378.64

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Solution

The fourth proportional to 658.47, 908.65 and 378.64 is: 522.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.47 : 908.65 = 378.64 : x
  2. Step 2: Convert to fraction form
    658.47/908.65 = 378.64/x
  3. Step 3: Cross multiply
    658.47x = 908.65 × 378.64
  4. Step 4: Simplify right side
    658.47x = 344,049.01
  5. Step 5: Solve for x
    x = 344,049.01/658.47
  6. Step 6: Final answer
    x = 522.50

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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.