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Finding the Fourth Proportional to 1,217.54, 1,691.54 and 1,202.96

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Solution

The fourth proportional to 1,217.54, 1,691.54 and 1,202.96 is: 1,671.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.54 : 1,691.54 = 1,202.96 : x
  2. Step 2: Convert to fraction form
    1,217.54/1,691.54 = 1,202.96/x
  3. Step 3: Cross multiply
    1,217.54x = 1,691.54 × 1,202.96
  4. Step 4: Simplify right side
    1,217.54x = 2,034,854.96
  5. Step 5: Solve for x
    x = 2,034,854.96/1,217.54
  6. Step 6: Final answer
    x = 1,671.28

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.