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Finding the Fourth Proportional to 800.18, 1,199.24 and 409.85

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Solution

The fourth proportional to 800.18, 1,199.24 and 409.85 is: 614.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.18 : 1,199.24 = 409.85 : x
  2. Step 2: Convert to fraction form
    800.18/1,199.24 = 409.85/x
  3. Step 3: Cross multiply
    800.18x = 1,199.24 × 409.85
  4. Step 4: Simplify right side
    800.18x = 491,510.96
  5. Step 5: Solve for x
    x = 491,510.96/800.18
  6. Step 6: Final answer
    x = 614.25

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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.