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Finding the Fourth Proportional to 733.64, 1,012.98 and 731.72

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Solution

The fourth proportional to 733.64, 1,012.98 and 731.72 is: 1,010.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.64 : 1,012.98 = 731.72 : x
  2. Step 2: Convert to fraction form
    733.64/1,012.98 = 731.72/x
  3. Step 3: Cross multiply
    733.64x = 1,012.98 × 731.72
  4. Step 4: Simplify right side
    733.64x = 741,217.73
  5. Step 5: Solve for x
    x = 741,217.73/733.64
  6. Step 6: Final answer
    x = 1,010.33

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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.