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Finding the Fourth Proportional to 997.31, 1,375.65 and 801.29

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Solution

The fourth proportional to 997.31, 1,375.65 and 801.29 is: 1,105.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.31 : 1,375.65 = 801.29 : x
  2. Step 2: Convert to fraction form
    997.31/1,375.65 = 801.29/x
  3. Step 3: Cross multiply
    997.31x = 1,375.65 × 801.29
  4. Step 4: Simplify right side
    997.31x = 1,102,298.03
  5. Step 5: Solve for x
    x = 1,102,298.03/997.31
  6. Step 6: Final answer
    x = 1,105.27

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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.