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Finding the Fourth Proportional to 868.31, 1,302.38 and 478.19

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Solution

The fourth proportional to 868.31, 1,302.38 and 478.19 is: 717.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.31 : 1,302.38 = 478.19 : x
  2. Step 2: Convert to fraction form
    868.31/1,302.38 = 478.19/x
  3. Step 3: Cross multiply
    868.31x = 1,302.38 × 478.19
  4. Step 4: Simplify right side
    868.31x = 622,778.58
  5. Step 5: Solve for x
    x = 622,778.58/868.31
  6. Step 6: Final answer
    x = 717.23

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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.