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Finding the Fourth Proportional to 863.98, 1,192.31 and 532.22

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Solution

The fourth proportional to 863.98, 1,192.31 and 532.22 is: 734.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.98 : 1,192.31 = 532.22 : x
  2. Step 2: Convert to fraction form
    863.98/1,192.31 = 532.22/x
  3. Step 3: Cross multiply
    863.98x = 1,192.31 × 532.22
  4. Step 4: Simplify right side
    863.98x = 634,571.23
  5. Step 5: Solve for x
    x = 634,571.23/863.98
  6. Step 6: Final answer
    x = 734.47

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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.