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Finding the Fourth Proportional to 1,099.82, 1,517.66 and 627.73

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Solution

The fourth proportional to 1,099.82, 1,517.66 and 627.73 is: 866.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.82 : 1,517.66 = 627.73 : x
  2. Step 2: Convert to fraction form
    1,099.82/1,517.66 = 627.73/x
  3. Step 3: Cross multiply
    1,099.82x = 1,517.66 × 627.73
  4. Step 4: Simplify right side
    1,099.82x = 952,680.71
  5. Step 5: Solve for x
    x = 952,680.71/1,099.82
  6. Step 6: Final answer
    x = 866.22

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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.