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Finding the Fourth Proportional to 913.11, 1,257.82 and 727.21

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Solution

The fourth proportional to 913.11, 1,257.82 and 727.21 is: 1,001.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.11 : 1,257.82 = 727.21 : x
  2. Step 2: Convert to fraction form
    913.11/1,257.82 = 727.21/x
  3. Step 3: Cross multiply
    913.11x = 1,257.82 × 727.21
  4. Step 4: Simplify right side
    913.11x = 914,699.28
  5. Step 5: Solve for x
    x = 914,699.28/913.11
  6. Step 6: Final answer
    x = 1,001.74

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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.