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Finding the Fourth Proportional to 658.64, 989.12 and 632.52

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Solution

The fourth proportional to 658.64, 989.12 and 632.52 is: 949.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.64 : 989.12 = 632.52 : x
  2. Step 2: Convert to fraction form
    658.64/989.12 = 632.52/x
  3. Step 3: Cross multiply
    658.64x = 989.12 × 632.52
  4. Step 4: Simplify right side
    658.64x = 625,638.18
  5. Step 5: Solve for x
    x = 625,638.18/658.64
  6. Step 6: Final answer
    x = 949.89

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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.