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Finding the Fourth Proportional to 799.08, 1,198.82 and 408.93

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Solution

The fourth proportional to 799.08, 1,198.82 and 408.93 is: 613.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.08 : 1,198.82 = 408.93 : x
  2. Step 2: Convert to fraction form
    799.08/1,198.82 = 408.93/x
  3. Step 3: Cross multiply
    799.08x = 1,198.82 × 408.93
  4. Step 4: Simplify right side
    799.08x = 490,234.48
  5. Step 5: Solve for x
    x = 490,234.48/799.08
  6. Step 6: Final answer
    x = 613.50

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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.