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Finding the Fourth Proportional to 861.64, 1,291.46 and 731.24

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Solution

The fourth proportional to 861.64, 1,291.46 and 731.24 is: 1,096.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.64 : 1,291.46 = 731.24 : x
  2. Step 2: Convert to fraction form
    861.64/1,291.46 = 731.24/x
  3. Step 3: Cross multiply
    861.64x = 1,291.46 × 731.24
  4. Step 4: Simplify right side
    861.64x = 944,367.21
  5. Step 5: Solve for x
    x = 944,367.21/861.64
  6. Step 6: Final answer
    x = 1,096.01

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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.