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Finding the Fourth Proportional to 1,224.54, 1,689.90 and 727.18

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Solution

The fourth proportional to 1,224.54, 1,689.90 and 727.18 is: 1,003.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.54 : 1,689.90 = 727.18 : x
  2. Step 2: Convert to fraction form
    1,224.54/1,689.90 = 727.18/x
  3. Step 3: Cross multiply
    1,224.54x = 1,689.90 × 727.18
  4. Step 4: Simplify right side
    1,224.54x = 1,228,861.48
  5. Step 5: Solve for x
    x = 1,228,861.48/1,224.54
  6. Step 6: Final answer
    x = 1,003.53

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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.