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Finding the Fourth Proportional to 680.57, 1,019.97 and 329.33

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Solution

The fourth proportional to 680.57, 1,019.97 and 329.33 is: 493.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.57 : 1,019.97 = 329.33 : x
  2. Step 2: Convert to fraction form
    680.57/1,019.97 = 329.33/x
  3. Step 3: Cross multiply
    680.57x = 1,019.97 × 329.33
  4. Step 4: Simplify right side
    680.57x = 335,899.97
  5. Step 5: Solve for x
    x = 335,899.97/680.57
  6. Step 6: Final answer
    x = 493.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.