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Finding the Fourth Proportional to 1,099.39, 1,649.08 and 441.56

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Solution

The fourth proportional to 1,099.39, 1,649.08 and 441.56 is: 662.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.39 : 1,649.08 = 441.56 : x
  2. Step 2: Convert to fraction form
    1,099.39/1,649.08 = 441.56/x
  3. Step 3: Cross multiply
    1,099.39x = 1,649.08 × 441.56
  4. Step 4: Simplify right side
    1,099.39x = 728,167.76
  5. Step 5: Solve for x
    x = 728,167.76/1,099.39
  6. Step 6: Final answer
    x = 662.34

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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.