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Finding the Fourth Proportional to 799.25, 1,199.15 and 337.14

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Solution

The fourth proportional to 799.25, 1,199.15 and 337.14 is: 505.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.25 : 1,199.15 = 337.14 : x
  2. Step 2: Convert to fraction form
    799.25/1,199.15 = 337.14/x
  3. Step 3: Cross multiply
    799.25x = 1,199.15 × 337.14
  4. Step 4: Simplify right side
    799.25x = 404,279.75
  5. Step 5: Solve for x
    x = 404,279.75/799.25
  6. Step 6: Final answer
    x = 505.83

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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.