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Finding the Fourth Proportional to 799.43, 1,197.61 and 490.38

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Solution

The fourth proportional to 799.43, 1,197.61 and 490.38 is: 734.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.43 : 1,197.61 = 490.38 : x
  2. Step 2: Convert to fraction form
    799.43/1,197.61 = 490.38/x
  3. Step 3: Cross multiply
    799.43x = 1,197.61 × 490.38
  4. Step 4: Simplify right side
    799.43x = 587,286.99
  5. Step 5: Solve for x
    x = 587,286.99/799.43
  6. Step 6: Final answer
    x = 734.63

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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.