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Finding the Fourth Proportional to 1,310.12, 1,963.92 and 731.78

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Solution

The fourth proportional to 1,310.12, 1,963.92 and 731.78 is: 1,096.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.12 : 1,963.92 = 731.78 : x
  2. Step 2: Convert to fraction form
    1,310.12/1,963.92 = 731.78/x
  3. Step 3: Cross multiply
    1,310.12x = 1,963.92 × 731.78
  4. Step 4: Simplify right side
    1,310.12x = 1,437,157.38
  5. Step 5: Solve for x
    x = 1,437,157.38/1,310.12
  6. Step 6: Final answer
    x = 1,096.97

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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.