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Finding the Fourth Proportional to 681.87, 1,022.82 and 219.69

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Solution

The fourth proportional to 681.87, 1,022.82 and 219.69 is: 329.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.87 : 1,022.82 = 219.69 : x
  2. Step 2: Convert to fraction form
    681.87/1,022.82 = 219.69/x
  3. Step 3: Cross multiply
    681.87x = 1,022.82 × 219.69
  4. Step 4: Simplify right side
    681.87x = 224,703.33
  5. Step 5: Solve for x
    x = 224,703.33/681.87
  6. Step 6: Final answer
    x = 329.54

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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.