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Finding the Fourth Proportional to 868.64, 1,294.50 and 842.27

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Solution

The fourth proportional to 868.64, 1,294.50 and 842.27 is: 1,255.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.64 : 1,294.50 = 842.27 : x
  2. Step 2: Convert to fraction form
    868.64/1,294.50 = 842.27/x
  3. Step 3: Cross multiply
    868.64x = 1,294.50 × 842.27
  4. Step 4: Simplify right side
    868.64x = 1,090,321.75
  5. Step 5: Solve for x
    x = 1,090,321.75/868.64
  6. Step 6: Final answer
    x = 1,255.21

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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.