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Finding the Fourth Proportional to 800.27, 1,199.35 and 337.49

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Solution

The fourth proportional to 800.27, 1,199.35 and 337.49 is: 505.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.27 : 1,199.35 = 337.49 : x
  2. Step 2: Convert to fraction form
    800.27/1,199.35 = 337.49/x
  3. Step 3: Cross multiply
    800.27x = 1,199.35 × 337.49
  4. Step 4: Simplify right side
    800.27x = 404,770.79
  5. Step 5: Solve for x
    x = 404,770.79/800.27
  6. Step 6: Final answer
    x = 505.79

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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.