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Finding the Fourth Proportional to 863.91, 1,192.74 and 532.89

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Solution

The fourth proportional to 863.91, 1,192.74 and 532.89 is: 735.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.91 : 1,192.74 = 532.89 : x
  2. Step 2: Convert to fraction form
    863.91/1,192.74 = 532.89/x
  3. Step 3: Cross multiply
    863.91x = 1,192.74 × 532.89
  4. Step 4: Simplify right side
    863.91x = 635,599.22
  5. Step 5: Solve for x
    x = 635,599.22/863.91
  6. Step 6: Final answer
    x = 735.72

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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.