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Finding the Fourth Proportional to 799.64, 1,198.96 and 337.72

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Solution

The fourth proportional to 799.64, 1,198.96 and 337.72 is: 506.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.64 : 1,198.96 = 337.72 : x
  2. Step 2: Convert to fraction form
    799.64/1,198.96 = 337.72/x
  3. Step 3: Cross multiply
    799.64x = 1,198.96 × 337.72
  4. Step 4: Simplify right side
    799.64x = 404,912.77
  5. Step 5: Solve for x
    x = 404,912.77/799.64
  6. Step 6: Final answer
    x = 506.37

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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.