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Finding the Fourth Proportional to 1,117.92, 1,676.14 and 981.24

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Solution

The fourth proportional to 1,117.92, 1,676.14 and 981.24 is: 1,471.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.92 : 1,676.14 = 981.24 : x
  2. Step 2: Convert to fraction form
    1,117.92/1,676.14 = 981.24/x
  3. Step 3: Cross multiply
    1,117.92x = 1,676.14 × 981.24
  4. Step 4: Simplify right side
    1,117.92x = 1,644,695.61
  5. Step 5: Solve for x
    x = 1,644,695.61/1,117.92
  6. Step 6: Final answer
    x = 1,471.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.