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Finding the Fourth Proportional to 863.76, 1,191.44 and 514.16

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Solution

The fourth proportional to 863.76, 1,191.44 and 514.16 is: 709.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.76 : 1,191.44 = 514.16 : x
  2. Step 2: Convert to fraction form
    863.76/1,191.44 = 514.16/x
  3. Step 3: Cross multiply
    863.76x = 1,191.44 × 514.16
  4. Step 4: Simplify right side
    863.76x = 612,590.79
  5. Step 5: Solve for x
    x = 612,590.79/863.76
  6. Step 6: Final answer
    x = 709.21

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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.