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Finding the Fourth Proportional to 863.52, 1,191.68 and 514.24

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Solution

The fourth proportional to 863.52, 1,191.68 and 514.24 is: 709.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.52 : 1,191.68 = 514.24 : x
  2. Step 2: Convert to fraction form
    863.52/1,191.68 = 514.24/x
  3. Step 3: Cross multiply
    863.52x = 1,191.68 × 514.24
  4. Step 4: Simplify right side
    863.52x = 612,809.52
  5. Step 5: Solve for x
    x = 612,809.52/863.52
  6. Step 6: Final answer
    x = 709.66

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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.