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Finding the Fourth Proportional to 1,110.66, 1,531.61 and 861.89

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Solution

The fourth proportional to 1,110.66, 1,531.61 and 861.89 is: 1,188.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.66 : 1,531.61 = 861.89 : x
  2. Step 2: Convert to fraction form
    1,110.66/1,531.61 = 861.89/x
  3. Step 3: Cross multiply
    1,110.66x = 1,531.61 × 861.89
  4. Step 4: Simplify right side
    1,110.66x = 1,320,079.22
  5. Step 5: Solve for x
    x = 1,320,079.22/1,110.66
  6. Step 6: Final answer
    x = 1,188.55

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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.