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Finding the Fourth Proportional to 1,599.39, 2,398.82 and 819.96

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Solution

The fourth proportional to 1,599.39, 2,398.82 and 819.96 is: 1,229.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.39 : 2,398.82 = 819.96 : x
  2. Step 2: Convert to fraction form
    1,599.39/2,398.82 = 819.96/x
  3. Step 3: Cross multiply
    1,599.39x = 2,398.82 × 819.96
  4. Step 4: Simplify right side
    1,599.39x = 1,966,936.45
  5. Step 5: Solve for x
    x = 1,966,936.45/1,599.39
  6. Step 6: Final answer
    x = 1,229.80

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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.