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Finding the Fourth Proportional to 838.88, 1,250.32 and 819.44

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Solution

The fourth proportional to 838.88, 1,250.32 and 819.44 is: 1,221.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.88 : 1,250.32 = 819.44 : x
  2. Step 2: Convert to fraction form
    838.88/1,250.32 = 819.44/x
  3. Step 3: Cross multiply
    838.88x = 1,250.32 × 819.44
  4. Step 4: Simplify right side
    838.88x = 1,024,562.22
  5. Step 5: Solve for x
    x = 1,024,562.22/838.88
  6. Step 6: Final answer
    x = 1,221.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.