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Finding the Fourth Proportional to 656.92, 905.72 and 481.96

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Solution

The fourth proportional to 656.92, 905.72 and 481.96 is: 664.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.92 : 905.72 = 481.96 : x
  2. Step 2: Convert to fraction form
    656.92/905.72 = 481.96/x
  3. Step 3: Cross multiply
    656.92x = 905.72 × 481.96
  4. Step 4: Simplify right side
    656.92x = 436,520.81
  5. Step 5: Solve for x
    x = 436,520.81/656.92
  6. Step 6: Final answer
    x = 664.50

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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.