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Finding the Fourth Proportional to 863.96, 1,192.36 and 532.32

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Solution

The fourth proportional to 863.96, 1,192.36 and 532.32 is: 734.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.96 : 1,192.36 = 532.32 : x
  2. Step 2: Convert to fraction form
    863.96/1,192.36 = 532.32/x
  3. Step 3: Cross multiply
    863.96x = 1,192.36 × 532.32
  4. Step 4: Simplify right side
    863.96x = 634,717.08
  5. Step 5: Solve for x
    x = 634,717.08/863.96
  6. Step 6: Final answer
    x = 734.66

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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.