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Finding the Fourth Proportional to 872.34, 1,306.89 and 681.18

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Solution

The fourth proportional to 872.34, 1,306.89 and 681.18 is: 1,020.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.34 : 1,306.89 = 681.18 : x
  2. Step 2: Convert to fraction form
    872.34/1,306.89 = 681.18/x
  3. Step 3: Cross multiply
    872.34x = 1,306.89 × 681.18
  4. Step 4: Simplify right side
    872.34x = 890,227.33
  5. Step 5: Solve for x
    x = 890,227.33/872.34
  6. Step 6: Final answer
    x = 1,020.50

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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.