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Finding the Fourth Proportional to 966.87, 1,447.74 and 658.26

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Solution

The fourth proportional to 966.87, 1,447.74 and 658.26 is: 985.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.87 : 1,447.74 = 658.26 : x
  2. Step 2: Convert to fraction form
    966.87/1,447.74 = 658.26/x
  3. Step 3: Cross multiply
    966.87x = 1,447.74 × 658.26
  4. Step 4: Simplify right side
    966.87x = 952,989.33
  5. Step 5: Solve for x
    x = 952,989.33/966.87
  6. Step 6: Final answer
    x = 985.64

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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.