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Finding the Fourth Proportional to 868.63, 1,294.90 and 855.31

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Solution

The fourth proportional to 868.63, 1,294.90 and 855.31 is: 1,275.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.63 : 1,294.90 = 855.31 : x
  2. Step 2: Convert to fraction form
    868.63/1,294.90 = 855.31/x
  3. Step 3: Cross multiply
    868.63x = 1,294.90 × 855.31
  4. Step 4: Simplify right side
    868.63x = 1,107,540.92
  5. Step 5: Solve for x
    x = 1,107,540.92/868.63
  6. Step 6: Final answer
    x = 1,275.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.