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Finding the Fourth Proportional to 1,099.41, 1,649.09 and 449.68

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Solution

The fourth proportional to 1,099.41, 1,649.09 and 449.68 is: 674.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.41 : 1,649.09 = 449.68 : x
  2. Step 2: Convert to fraction form
    1,099.41/1,649.09 = 449.68/x
  3. Step 3: Cross multiply
    1,099.41x = 1,649.09 × 449.68
  4. Step 4: Simplify right side
    1,099.41x = 741,562.79
  5. Step 5: Solve for x
    x = 741,562.79/1,099.41
  6. Step 6: Final answer
    x = 674.51

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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.