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Finding the Fourth Proportional to 2,224.52, 3,336.75 and 664.53

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Solution

The fourth proportional to 2,224.52, 3,336.75 and 664.53 is: 996.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.52 : 3,336.75 = 664.53 : x
  2. Step 2: Convert to fraction form
    2,224.52/3,336.75 = 664.53/x
  3. Step 3: Cross multiply
    2,224.52x = 3,336.75 × 664.53
  4. Step 4: Simplify right side
    2,224.52x = 2,217,376.73
  5. Step 5: Solve for x
    x = 2,217,376.73/2,224.52
  6. Step 6: Final answer
    x = 996.79

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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.