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Finding the Fourth Proportional to 658.15, 908.40 and 461.95

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Solution

The fourth proportional to 658.15, 908.40 and 461.95 is: 637.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.15 : 908.40 = 461.95 : x
  2. Step 2: Convert to fraction form
    658.15/908.40 = 461.95/x
  3. Step 3: Cross multiply
    658.15x = 908.40 × 461.95
  4. Step 4: Simplify right side
    658.15x = 419,635.38
  5. Step 5: Solve for x
    x = 419,635.38/658.15
  6. Step 6: Final answer
    x = 637.60

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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.