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Finding the Fourth Proportional to 1,250.78, 1,876.26 and 385.12

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Solution

The fourth proportional to 1,250.78, 1,876.26 and 385.12 is: 577.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.78 : 1,876.26 = 385.12 : x
  2. Step 2: Convert to fraction form
    1,250.78/1,876.26 = 385.12/x
  3. Step 3: Cross multiply
    1,250.78x = 1,876.26 × 385.12
  4. Step 4: Simplify right side
    1,250.78x = 722,585.25
  5. Step 5: Solve for x
    x = 722,585.25/1,250.78
  6. Step 6: Final answer
    x = 577.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.