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Finding the Fourth Proportional to 1,257.78, 1,735.71 and 726.75

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Solution

The fourth proportional to 1,257.78, 1,735.71 and 726.75 is: 1,002.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.78 : 1,735.71 = 726.75 : x
  2. Step 2: Convert to fraction form
    1,257.78/1,735.71 = 726.75/x
  3. Step 3: Cross multiply
    1,257.78x = 1,735.71 × 726.75
  4. Step 4: Simplify right side
    1,257.78x = 1,261,427.24
  5. Step 5: Solve for x
    x = 1,261,427.24/1,257.78
  6. Step 6: Final answer
    x = 1,002.90

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Half scale
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Double scale
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1.5x scale

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.