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Finding the Fourth Proportional to 868.67, 1,301.62 and 674.17

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Solution

The fourth proportional to 868.67, 1,301.62 and 674.17 is: 1,010.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.67 : 1,301.62 = 674.17 : x
  2. Step 2: Convert to fraction form
    868.67/1,301.62 = 674.17/x
  3. Step 3: Cross multiply
    868.67x = 1,301.62 × 674.17
  4. Step 4: Simplify right side
    868.67x = 877,516.80
  5. Step 5: Solve for x
    x = 877,516.80/868.67
  6. Step 6: Final answer
    x = 1,010.18

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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.