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Finding the Fourth Proportional to 863.20, 1,191.36 and 514.08

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Solution

The fourth proportional to 863.20, 1,191.36 and 514.08 is: 709.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.20 : 1,191.36 = 514.08 : x
  2. Step 2: Convert to fraction form
    863.20/1,191.36 = 514.08/x
  3. Step 3: Cross multiply
    863.20x = 1,191.36 × 514.08
  4. Step 4: Simplify right side
    863.20x = 612,454.35
  5. Step 5: Solve for x
    x = 612,454.35/863.20
  6. Step 6: Final answer
    x = 709.52

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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.