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Finding the Fourth Proportional to 863.87, 1,189.49 and 686.48

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Solution

The fourth proportional to 863.87, 1,189.49 and 686.48 is: 945.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.87 : 1,189.49 = 686.48 : x
  2. Step 2: Convert to fraction form
    863.87/1,189.49 = 686.48/x
  3. Step 3: Cross multiply
    863.87x = 1,189.49 × 686.48
  4. Step 4: Simplify right side
    863.87x = 816,551.72
  5. Step 5: Solve for x
    x = 816,551.72/863.87
  6. Step 6: Final answer
    x = 945.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.