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Finding the Fourth Proportional to 819.40, 1,226.70 and 723.40

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Solution

The fourth proportional to 819.40, 1,226.70 and 723.40 is: 1,082.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.40 : 1,226.70 = 723.40 : x
  2. Step 2: Convert to fraction form
    819.40/1,226.70 = 723.40/x
  3. Step 3: Cross multiply
    819.40x = 1,226.70 × 723.40
  4. Step 4: Simplify right side
    819.40x = 887,394.78
  5. Step 5: Solve for x
    x = 887,394.78/819.40
  6. Step 6: Final answer
    x = 1,082.98

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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.