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Finding the Fourth Proportional to 1,099.58, 1,650.11 and 441.99

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Solution

The fourth proportional to 1,099.58, 1,650.11 and 441.99 is: 663.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.58 : 1,650.11 = 441.99 : x
  2. Step 2: Convert to fraction form
    1,099.58/1,650.11 = 441.99/x
  3. Step 3: Cross multiply
    1,099.58x = 1,650.11 × 441.99
  4. Step 4: Simplify right side
    1,099.58x = 729,329.91
  5. Step 5: Solve for x
    x = 729,329.91/1,099.58
  6. Step 6: Final answer
    x = 663.28

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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.