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Finding the Fourth Proportional to 1,099.80, 1,650.18 and 450.68

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Solution

The fourth proportional to 1,099.80, 1,650.18 and 450.68 is: 676.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.80 : 1,650.18 = 450.68 : x
  2. Step 2: Convert to fraction form
    1,099.80/1,650.18 = 450.68/x
  3. Step 3: Cross multiply
    1,099.80x = 1,650.18 × 450.68
  4. Step 4: Simplify right side
    1,099.80x = 743,703.12
  5. Step 5: Solve for x
    x = 743,703.12/1,099.80
  6. Step 6: Final answer
    x = 676.22

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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.