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Finding the Fourth Proportional to 1,250.82, 1,876.78 and 520.88

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Solution

The fourth proportional to 1,250.82, 1,876.78 and 520.88 is: 781.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.82 : 1,876.78 = 520.88 : x
  2. Step 2: Convert to fraction form
    1,250.82/1,876.78 = 520.88/x
  3. Step 3: Cross multiply
    1,250.82x = 1,876.78 × 520.88
  4. Step 4: Simplify right side
    1,250.82x = 977,577.17
  5. Step 5: Solve for x
    x = 977,577.17/1,250.82
  6. Step 6: Final answer
    x = 781.55

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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.