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Finding the Fourth Proportional to 819.46, 1,227.57 and 703.90

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Solution

The fourth proportional to 819.46, 1,227.57 and 703.90 is: 1,054.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.46 : 1,227.57 = 703.90 : x
  2. Step 2: Convert to fraction form
    819.46/1,227.57 = 703.90/x
  3. Step 3: Cross multiply
    819.46x = 1,227.57 × 703.90
  4. Step 4: Simplify right side
    819.46x = 864,086.52
  5. Step 5: Solve for x
    x = 864,086.52/819.46
  6. Step 6: Final answer
    x = 1,054.46

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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.