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Finding the Fourth Proportional to 819.82, 1,229.93 and 333.01

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Solution

The fourth proportional to 819.82, 1,229.93 and 333.01 is: 499.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.82 : 1,229.93 = 333.01 : x
  2. Step 2: Convert to fraction form
    819.82/1,229.93 = 333.01/x
  3. Step 3: Cross multiply
    819.82x = 1,229.93 × 333.01
  4. Step 4: Simplify right side
    819.82x = 409,571.17
  5. Step 5: Solve for x
    x = 409,571.17/819.82
  6. Step 6: Final answer
    x = 499.59

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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.