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Finding the Fourth Proportional to 863.52, 1,191.64 and 553.56

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Solution

The fourth proportional to 863.52, 1,191.64 and 553.56 is: 763.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.52 : 1,191.64 = 553.56 : x
  2. Step 2: Convert to fraction form
    863.52/1,191.64 = 553.56/x
  3. Step 3: Cross multiply
    863.52x = 1,191.64 × 553.56
  4. Step 4: Simplify right side
    863.52x = 659,644.24
  5. Step 5: Solve for x
    x = 659,644.24/863.52
  6. Step 6: Final answer
    x = 763.90

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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.