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Finding the Fourth Proportional to 1,138.80, 1,569.96 and 876.36

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Solution

The fourth proportional to 1,138.80, 1,569.96 and 876.36 is: 1,208.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.80 : 1,569.96 = 876.36 : x
  2. Step 2: Convert to fraction form
    1,138.80/1,569.96 = 876.36/x
  3. Step 3: Cross multiply
    1,138.80x = 1,569.96 × 876.36
  4. Step 4: Simplify right side
    1,138.80x = 1,375,850.15
  5. Step 5: Solve for x
    x = 1,375,850.15/1,138.80
  6. Step 6: Final answer
    x = 1,208.16

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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.