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Finding the Fourth Proportional to 863.54, 1,286.97 and 862.16

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Solution

The fourth proportional to 863.54, 1,286.97 and 862.16 is: 1,284.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.54 : 1,286.97 = 862.16 : x
  2. Step 2: Convert to fraction form
    863.54/1,286.97 = 862.16/x
  3. Step 3: Cross multiply
    863.54x = 1,286.97 × 862.16
  4. Step 4: Simplify right side
    863.54x = 1,109,577.27
  5. Step 5: Solve for x
    x = 1,109,577.27/863.54
  6. Step 6: Final answer
    x = 1,284.92

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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.