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Finding the Fourth Proportional to 658.36, 982.07 and 648.11

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Solution

The fourth proportional to 658.36, 982.07 and 648.11 is: 966.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.36 : 982.07 = 648.11 : x
  2. Step 2: Convert to fraction form
    658.36/982.07 = 648.11/x
  3. Step 3: Cross multiply
    658.36x = 982.07 × 648.11
  4. Step 4: Simplify right side
    658.36x = 636,491.03
  5. Step 5: Solve for x
    x = 636,491.03/658.36
  6. Step 6: Final answer
    x = 966.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.