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Finding the Fourth Proportional to 1,250.20, 1,877.04 and 634.33

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Solution

The fourth proportional to 1,250.20, 1,877.04 and 634.33 is: 952.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.20 : 1,877.04 = 634.33 : x
  2. Step 2: Convert to fraction form
    1,250.20/1,877.04 = 634.33/x
  3. Step 3: Cross multiply
    1,250.20x = 1,877.04 × 634.33
  4. Step 4: Simplify right side
    1,250.20x = 1,190,665.13
  5. Step 5: Solve for x
    x = 1,190,665.13/1,250.20
  6. Step 6: Final answer
    x = 952.38

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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.