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Finding the Fourth Proportional to 819.56, 1,229.76 and 333.56

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Solution

The fourth proportional to 819.56, 1,229.76 and 333.56 is: 500.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.56 : 1,229.76 = 333.56 : x
  2. Step 2: Convert to fraction form
    819.56/1,229.76 = 333.56/x
  3. Step 3: Cross multiply
    819.56x = 1,229.76 × 333.56
  4. Step 4: Simplify right side
    819.56x = 410,198.75
  5. Step 5: Solve for x
    x = 410,198.75/819.56
  6. Step 6: Final answer
    x = 500.51

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1.5x scale

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.