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Finding the Fourth Proportional to 868.82, 1,301.21 and 684.95

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Solution

The fourth proportional to 868.82, 1,301.21 and 684.95 is: 1,025.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.82 : 1,301.21 = 684.95 : x
  2. Step 2: Convert to fraction form
    868.82/1,301.21 = 684.95/x
  3. Step 3: Cross multiply
    868.82x = 1,301.21 × 684.95
  4. Step 4: Simplify right side
    868.82x = 891,260.36
  5. Step 5: Solve for x
    x = 891,260.36/868.82
  6. Step 6: Final answer
    x = 1,025.83

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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.