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Finding the Fourth Proportional to 1,793.56, 2,690.26 and 819.65

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Solution

The fourth proportional to 1,793.56, 2,690.26 and 819.65 is: 1,229.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,793.56 : 2,690.26 = 819.65 : x
  2. Step 2: Convert to fraction form
    1,793.56/2,690.26 = 819.65/x
  3. Step 3: Cross multiply
    1,793.56x = 2,690.26 × 819.65
  4. Step 4: Simplify right side
    1,793.56x = 2,205,071.61
  5. Step 5: Solve for x
    x = 2,205,071.61/1,793.56
  6. Step 6: Final answer
    x = 1,229.44

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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.