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Finding the Fourth Proportional to 664.56, 996.78 and 231.72

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Solution

The fourth proportional to 664.56, 996.78 and 231.72 is: 347.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.56 : 996.78 = 231.72 : x
  2. Step 2: Convert to fraction form
    664.56/996.78 = 231.72/x
  3. Step 3: Cross multiply
    664.56x = 996.78 × 231.72
  4. Step 4: Simplify right side
    664.56x = 230,973.86
  5. Step 5: Solve for x
    x = 230,973.86/664.56
  6. Step 6: Final answer
    x = 347.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.