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Finding the Fourth Proportional to 1,092.11, 1,631.51 and 698.97

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Solution

The fourth proportional to 1,092.11, 1,631.51 and 698.97 is: 1,044.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.11 : 1,631.51 = 698.97 : x
  2. Step 2: Convert to fraction form
    1,092.11/1,631.51 = 698.97/x
  3. Step 3: Cross multiply
    1,092.11x = 1,631.51 × 698.97
  4. Step 4: Simplify right side
    1,092.11x = 1,140,376.54
  5. Step 5: Solve for x
    x = 1,140,376.54/1,092.11
  6. Step 6: Final answer
    x = 1,044.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.