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Finding the Fourth Proportional to 1,257.64, 1,735.29 and 726.39

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Solution

The fourth proportional to 1,257.64, 1,735.29 and 726.39 is: 1,002.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.64 : 1,735.29 = 726.39 : x
  2. Step 2: Convert to fraction form
    1,257.64/1,735.29 = 726.39/x
  3. Step 3: Cross multiply
    1,257.64x = 1,735.29 × 726.39
  4. Step 4: Simplify right side
    1,257.64x = 1,260,497.30
  5. Step 5: Solve for x
    x = 1,260,497.30/1,257.64
  6. Step 6: Final answer
    x = 1,002.27

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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.