Home / 1,478.24-2,217.56-819.61

Finding the Fourth Proportional to 1,478.24, 2,217.56 and 819.61

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Solution

The fourth proportional to 1,478.24, 2,217.56 and 819.61 is: 1,229.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.24 : 2,217.56 = 819.61 : x
  2. Step 2: Convert to fraction form
    1,478.24/2,217.56 = 819.61/x
  3. Step 3: Cross multiply
    1,478.24x = 2,217.56 × 819.61
  4. Step 4: Simplify right side
    1,478.24x = 1,817,534.35
  5. Step 5: Solve for x
    x = 1,817,534.35/1,478.24
  6. Step 6: Final answer
    x = 1,229.53

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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.