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Finding the Fourth Proportional to 800.89, 1,199.41 and 409.86

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Solution

The fourth proportional to 800.89, 1,199.41 and 409.86 is: 613.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.89 : 1,199.41 = 409.86 : x
  2. Step 2: Convert to fraction form
    800.89/1,199.41 = 409.86/x
  3. Step 3: Cross multiply
    800.89x = 1,199.41 × 409.86
  4. Step 4: Simplify right side
    800.89x = 491,589.16
  5. Step 5: Solve for x
    x = 491,589.16/800.89
  6. Step 6: Final answer
    x = 613.81

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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.