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Finding the Fourth Proportional to 681.55, 1,021.92 and 219.24

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Solution

The fourth proportional to 681.55, 1,021.92 and 219.24 is: 328.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.55 : 1,021.92 = 219.24 : x
  2. Step 2: Convert to fraction form
    681.55/1,021.92 = 219.24/x
  3. Step 3: Cross multiply
    681.55x = 1,021.92 × 219.24
  4. Step 4: Simplify right side
    681.55x = 224,044.92
  5. Step 5: Solve for x
    x = 224,044.92/681.55
  6. Step 6: Final answer
    x = 328.73

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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.