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Finding the Fourth Proportional to 1,260.56, 1,743.22 and 1,202.55

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Solution

The fourth proportional to 1,260.56, 1,743.22 and 1,202.55 is: 1,662.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.56 : 1,743.22 = 1,202.55 : x
  2. Step 2: Convert to fraction form
    1,260.56/1,743.22 = 1,202.55/x
  3. Step 3: Cross multiply
    1,260.56x = 1,743.22 × 1,202.55
  4. Step 4: Simplify right side
    1,260.56x = 2,096,304.18
  5. Step 5: Solve for x
    x = 2,096,304.18/1,260.56
  6. Step 6: Final answer
    x = 1,662.99

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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.