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Finding the Fourth Proportional to 799.41, 1,198.58 and 408.92

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Solution

The fourth proportional to 799.41, 1,198.58 and 408.92 is: 613.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.41 : 1,198.58 = 408.92 : x
  2. Step 2: Convert to fraction form
    799.41/1,198.58 = 408.92/x
  3. Step 3: Cross multiply
    799.41x = 1,198.58 × 408.92
  4. Step 4: Simplify right side
    799.41x = 490,124.29
  5. Step 5: Solve for x
    x = 490,124.29/799.41
  6. Step 6: Final answer
    x = 613.11

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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.