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Finding the Fourth Proportional to 1,250.22, 1,875.24 and 519.27

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Solution

The fourth proportional to 1,250.22, 1,875.24 and 519.27 is: 778.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.22 : 1,875.24 = 519.27 : x
  2. Step 2: Convert to fraction form
    1,250.22/1,875.24 = 519.27/x
  3. Step 3: Cross multiply
    1,250.22x = 1,875.24 × 519.27
  4. Step 4: Simplify right side
    1,250.22x = 973,755.87
  5. Step 5: Solve for x
    x = 973,755.87/1,250.22
  6. Step 6: Final answer
    x = 778.87

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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.