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Finding the Fourth Proportional to 658.27, 986.73 and 495.46

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Solution

The fourth proportional to 658.27, 986.73 and 495.46 is: 742.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.27 : 986.73 = 495.46 : x
  2. Step 2: Convert to fraction form
    658.27/986.73 = 495.46/x
  3. Step 3: Cross multiply
    658.27x = 986.73 × 495.46
  4. Step 4: Simplify right side
    658.27x = 488,885.25
  5. Step 5: Solve for x
    x = 488,885.25/658.27
  6. Step 6: Final answer
    x = 742.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.