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Finding the Fourth Proportional to 1,100.26, 1,517.96 and 658.10

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Solution

The fourth proportional to 1,100.26, 1,517.96 and 658.10 is: 907.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.26 : 1,517.96 = 658.10 : x
  2. Step 2: Convert to fraction form
    1,100.26/1,517.96 = 658.10/x
  3. Step 3: Cross multiply
    1,100.26x = 1,517.96 × 658.10
  4. Step 4: Simplify right side
    1,100.26x = 998,969.48
  5. Step 5: Solve for x
    x = 998,969.48/1,100.26
  6. Step 6: Final answer
    x = 907.94

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