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Finding the Fourth Proportional to 863.32, 1,191.29 and 504.43

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Solution

The fourth proportional to 863.32, 1,191.29 and 504.43 is: 696.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.32 : 1,191.29 = 504.43 : x
  2. Step 2: Convert to fraction form
    863.32/1,191.29 = 504.43/x
  3. Step 3: Cross multiply
    863.32x = 1,191.29 × 504.43
  4. Step 4: Simplify right side
    863.32x = 600,922.41
  5. Step 5: Solve for x
    x = 600,922.41/863.32
  6. Step 6: Final answer
    x = 696.06

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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.