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Finding the Fourth Proportional to 681.97, 1,024.13 and 423.51

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Solution

The fourth proportional to 681.97, 1,024.13 and 423.51 is: 635.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.97 : 1,024.13 = 423.51 : x
  2. Step 2: Convert to fraction form
    681.97/1,024.13 = 423.51/x
  3. Step 3: Cross multiply
    681.97x = 1,024.13 × 423.51
  4. Step 4: Simplify right side
    681.97x = 433,729.30
  5. Step 5: Solve for x
    x = 433,729.30/681.97
  6. Step 6: Final answer
    x = 635.99

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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.