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Finding the Fourth Proportional to 863.39, 1,293.71 and 700.27

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Solution

The fourth proportional to 863.39, 1,293.71 and 700.27 is: 1,049.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.39 : 1,293.71 = 700.27 : x
  2. Step 2: Convert to fraction form
    863.39/1,293.71 = 700.27/x
  3. Step 3: Cross multiply
    863.39x = 1,293.71 × 700.27
  4. Step 4: Simplify right side
    863.39x = 905,939.57
  5. Step 5: Solve for x
    x = 905,939.57/863.39
  6. Step 6: Final answer
    x = 1,049.28

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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.