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Finding the Fourth Proportional to 801.72, 1,103.96 and 727.58

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Solution

The fourth proportional to 801.72, 1,103.96 and 727.58 is: 1,001.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.72 : 1,103.96 = 727.58 : x
  2. Step 2: Convert to fraction form
    801.72/1,103.96 = 727.58/x
  3. Step 3: Cross multiply
    801.72x = 1,103.96 × 727.58
  4. Step 4: Simplify right side
    801.72x = 803,219.22
  5. Step 5: Solve for x
    x = 803,219.22/801.72
  6. Step 6: Final answer
    x = 1,001.87

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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.