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Finding the Fourth Proportional to 819.52, 1,138.96 and 810.88

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Solution

The fourth proportional to 819.52, 1,138.96 and 810.88 is: 1,126.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.52 : 1,138.96 = 810.88 : x
  2. Step 2: Convert to fraction form
    819.52/1,138.96 = 810.88/x
  3. Step 3: Cross multiply
    819.52x = 1,138.96 × 810.88
  4. Step 4: Simplify right side
    819.52x = 923,559.88
  5. Step 5: Solve for x
    x = 923,559.88/819.52
  6. Step 6: Final answer
    x = 1,126.95

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.