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Finding the Fourth Proportional to 1,099.50, 1,517.31 and 633.90

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Solution

The fourth proportional to 1,099.50, 1,517.31 and 633.90 is: 874.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.50 : 1,517.31 = 633.90 : x
  2. Step 2: Convert to fraction form
    1,099.50/1,517.31 = 633.90/x
  3. Step 3: Cross multiply
    1,099.50x = 1,517.31 × 633.90
  4. Step 4: Simplify right side
    1,099.50x = 961,822.81
  5. Step 5: Solve for x
    x = 961,822.81/1,099.50
  6. Step 6: Final answer
    x = 874.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.