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Finding the Fourth Proportional to 658.46, 908.70 and 492.38

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Solution

The fourth proportional to 658.46, 908.70 and 492.38 is: 679.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.46 : 908.70 = 492.38 : x
  2. Step 2: Convert to fraction form
    658.46/908.70 = 492.38/x
  3. Step 3: Cross multiply
    658.46x = 908.70 × 492.38
  4. Step 4: Simplify right side
    658.46x = 447,425.71
  5. Step 5: Solve for x
    x = 447,425.71/658.46
  6. Step 6: Final answer
    x = 679.50

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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.