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Finding the Fourth Proportional to 1,250.77, 1,876.05 and 385

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Solution

The fourth proportional to 1,250.77, 1,876.05 and 385 is: 577.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.77 : 1,876.05 = 385 : x
  2. Step 2: Convert to fraction form
    1,250.77/1,876.05 = 385/x
  3. Step 3: Cross multiply
    1,250.77x = 1,876.05 × 385
  4. Step 4: Simplify right side
    1,250.77x = 722,279.25
  5. Step 5: Solve for x
    x = 722,279.25/1,250.77
  6. Step 6: Final answer
    x = 577.47

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Why These Related Problems?

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