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Finding the Fourth Proportional to 742.57, 1,107.82 and 668.75

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Solution

The fourth proportional to 742.57, 1,107.82 and 668.75 is: 997.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.57 : 1,107.82 = 668.75 : x
  2. Step 2: Convert to fraction form
    742.57/1,107.82 = 668.75/x
  3. Step 3: Cross multiply
    742.57x = 1,107.82 × 668.75
  4. Step 4: Simplify right side
    742.57x = 740,854.63
  5. Step 5: Solve for x
    x = 740,854.63/742.57
  6. Step 6: Final answer
    x = 997.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.