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Finding the Fourth Proportional to 863.72, 1,192.56 and 532.60

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Solution

The fourth proportional to 863.72, 1,192.56 and 532.60 is: 735.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.72 : 1,192.56 = 532.60 : x
  2. Step 2: Convert to fraction form
    863.72/1,192.56 = 532.60/x
  3. Step 3: Cross multiply
    863.72x = 1,192.56 × 532.60
  4. Step 4: Simplify right side
    863.72x = 635,157.46
  5. Step 5: Solve for x
    x = 635,157.46/863.72
  6. Step 6: Final answer
    x = 735.37

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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.