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Finding the Fourth Proportional to 1,112.78, 1,537.49 and 878.53

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Solution

The fourth proportional to 1,112.78, 1,537.49 and 878.53 is: 1,213.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.78 : 1,537.49 = 878.53 : x
  2. Step 2: Convert to fraction form
    1,112.78/1,537.49 = 878.53/x
  3. Step 3: Cross multiply
    1,112.78x = 1,537.49 × 878.53
  4. Step 4: Simplify right side
    1,112.78x = 1,350,729.44
  5. Step 5: Solve for x
    x = 1,350,729.44/1,112.78
  6. Step 6: Final answer
    x = 1,213.83

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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.