Home / 1,512.56-2,269.68-819.20

Finding the Fourth Proportional to 1,512.56, 2,269.68 and 819.20

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Solution

The fourth proportional to 1,512.56, 2,269.68 and 819.20 is: 1,229.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.56 : 2,269.68 = 819.20 : x
  2. Step 2: Convert to fraction form
    1,512.56/2,269.68 = 819.20/x
  3. Step 3: Cross multiply
    1,512.56x = 2,269.68 × 819.20
  4. Step 4: Simplify right side
    1,512.56x = 1,859,321.86
  5. Step 5: Solve for x
    x = 1,859,321.86/1,512.56
  6. Step 6: Final answer
    x = 1,229.25

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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.