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Finding the Fourth Proportional to 1,240.25, 1,857.53 and 718.97

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Solution

The fourth proportional to 1,240.25, 1,857.53 and 718.97 is: 1,076.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.25 : 1,857.53 = 718.97 : x
  2. Step 2: Convert to fraction form
    1,240.25/1,857.53 = 718.97/x
  3. Step 3: Cross multiply
    1,240.25x = 1,857.53 × 718.97
  4. Step 4: Simplify right side
    1,240.25x = 1,335,497.26
  5. Step 5: Solve for x
    x = 1,335,497.26/1,240.25
  6. Step 6: Final answer
    x = 1,076.79

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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.