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Finding the Fourth Proportional to 1,182.38, 1,780.49 and 876.38

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Solution

The fourth proportional to 1,182.38, 1,780.49 and 876.38 is: 1,319.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.38 : 1,780.49 = 876.38 : x
  2. Step 2: Convert to fraction form
    1,182.38/1,780.49 = 876.38/x
  3. Step 3: Cross multiply
    1,182.38x = 1,780.49 × 876.38
  4. Step 4: Simplify right side
    1,182.38x = 1,560,372.54
  5. Step 5: Solve for x
    x = 1,560,372.54/1,182.38
  6. Step 6: Final answer
    x = 1,319.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.