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Finding the Fourth Proportional to 681.76, 1,021.44 and 372.76

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Solution

The fourth proportional to 681.76, 1,021.44 and 372.76 is: 558.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.76 : 1,021.44 = 372.76 : x
  2. Step 2: Convert to fraction form
    681.76/1,021.44 = 372.76/x
  3. Step 3: Cross multiply
    681.76x = 1,021.44 × 372.76
  4. Step 4: Simplify right side
    681.76x = 380,751.97
  5. Step 5: Solve for x
    x = 380,751.97/681.76
  6. Step 6: Final answer
    x = 558.48

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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.