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Finding the Fourth Proportional to 721.96, 996.36 and 423.20

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Solution

The fourth proportional to 721.96, 996.36 and 423.20 is: 584.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.96 : 996.36 = 423.20 : x
  2. Step 2: Convert to fraction form
    721.96/996.36 = 423.20/x
  3. Step 3: Cross multiply
    721.96x = 996.36 × 423.20
  4. Step 4: Simplify right side
    721.96x = 421,659.55
  5. Step 5: Solve for x
    x = 421,659.55/721.96
  6. Step 6: Final answer
    x = 584.05

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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.