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Finding the Fourth Proportional to 951.30, 1,424.64 and 658.02

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Solution

The fourth proportional to 951.30, 1,424.64 and 658.02 is: 985.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.30 : 1,424.64 = 658.02 : x
  2. Step 2: Convert to fraction form
    951.30/1,424.64 = 658.02/x
  3. Step 3: Cross multiply
    951.30x = 1,424.64 × 658.02
  4. Step 4: Simplify right side
    951.30x = 937,441.61
  5. Step 5: Solve for x
    x = 937,441.61/951.30
  6. Step 6: Final answer
    x = 985.43

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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.