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Finding the Fourth Proportional to 863.85, 1,191.47 and 532.16

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Solution

The fourth proportional to 863.85, 1,191.47 and 532.16 is: 733.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.85 : 1,191.47 = 532.16 : x
  2. Step 2: Convert to fraction form
    863.85/1,191.47 = 532.16/x
  3. Step 3: Cross multiply
    863.85x = 1,191.47 × 532.16
  4. Step 4: Simplify right side
    863.85x = 634,052.68
  5. Step 5: Solve for x
    x = 634,052.68/863.85
  6. Step 6: Final answer
    x = 733.98

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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.