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Finding the Fourth Proportional to 994.31, 1,372.55 and 725.53

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Solution

The fourth proportional to 994.31, 1,372.55 and 725.53 is: 1,001.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.31 : 1,372.55 = 725.53 : x
  2. Step 2: Convert to fraction form
    994.31/1,372.55 = 725.53/x
  3. Step 3: Cross multiply
    994.31x = 1,372.55 × 725.53
  4. Step 4: Simplify right side
    994.31x = 995,826.20
  5. Step 5: Solve for x
    x = 995,826.20/994.31
  6. Step 6: Final answer
    x = 1,001.52

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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.