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Finding the Fourth Proportional to 964.92, 1,332.09 and 731.64

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Solution

The fourth proportional to 964.92, 1,332.09 and 731.64 is: 1,010.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.92 : 1,332.09 = 731.64 : x
  2. Step 2: Convert to fraction form
    964.92/1,332.09 = 731.64/x
  3. Step 3: Cross multiply
    964.92x = 1,332.09 × 731.64
  4. Step 4: Simplify right side
    964.92x = 974,610.33
  5. Step 5: Solve for x
    x = 974,610.33/964.92
  6. Step 6: Final answer
    x = 1,010.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.