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Finding the Fourth Proportional to 1,098.18, 1,517.07 and 876.84

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Solution

The fourth proportional to 1,098.18, 1,517.07 and 876.84 is: 1,211.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.18 : 1,517.07 = 876.84 : x
  2. Step 2: Convert to fraction form
    1,098.18/1,517.07 = 876.84/x
  3. Step 3: Cross multiply
    1,098.18x = 1,517.07 × 876.84
  4. Step 4: Simplify right side
    1,098.18x = 1,330,227.66
  5. Step 5: Solve for x
    x = 1,330,227.66/1,098.18
  6. Step 6: Final answer
    x = 1,211.30

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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.