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Finding the Fourth Proportional to 1,100.01, 1,517.97 and 627.90

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Solution

The fourth proportional to 1,100.01, 1,517.97 and 627.90 is: 866.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.01 : 1,517.97 = 627.90 : x
  2. Step 2: Convert to fraction form
    1,100.01/1,517.97 = 627.90/x
  3. Step 3: Cross multiply
    1,100.01x = 1,517.97 × 627.90
  4. Step 4: Simplify right side
    1,100.01x = 953,133.36
  5. Step 5: Solve for x
    x = 953,133.36/1,100.01
  6. Step 6: Final answer
    x = 866.48

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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.