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Finding the Fourth Proportional to 1,099.24, 1,648.84 and 449.82

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Solution

The fourth proportional to 1,099.24, 1,648.84 and 449.82 is: 674.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.24 : 1,648.84 = 449.82 : x
  2. Step 2: Convert to fraction form
    1,099.24/1,648.84 = 449.82/x
  3. Step 3: Cross multiply
    1,099.24x = 1,648.84 × 449.82
  4. Step 4: Simplify right side
    1,099.24x = 741,681.21
  5. Step 5: Solve for x
    x = 741,681.21/1,099.24
  6. Step 6: Final answer
    x = 674.72

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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.