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Finding the Fourth Proportional to 819.60, 1,226.97 and 703.23

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Solution

The fourth proportional to 819.60, 1,226.97 and 703.23 is: 1,052.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.60 : 1,226.97 = 703.23 : x
  2. Step 2: Convert to fraction form
    819.60/1,226.97 = 703.23/x
  3. Step 3: Cross multiply
    819.60x = 1,226.97 × 703.23
  4. Step 4: Simplify right side
    819.60x = 862,842.11
  5. Step 5: Solve for x
    x = 862,842.11/819.60
  6. Step 6: Final answer
    x = 1,052.76

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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.