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Finding the Fourth Proportional to 922.59, 1,375.38 and 876.42

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Solution

The fourth proportional to 922.59, 1,375.38 and 876.42 is: 1,306.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.59 : 1,375.38 = 876.42 : x
  2. Step 2: Convert to fraction form
    922.59/1,375.38 = 876.42/x
  3. Step 3: Cross multiply
    922.59x = 1,375.38 × 876.42
  4. Step 4: Simplify right side
    922.59x = 1,205,410.54
  5. Step 5: Solve for x
    x = 1,205,410.54/922.59
  6. Step 6: Final answer
    x = 1,306.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.