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Finding the Fourth Proportional to 1,250.42, 1,725.77 and 726.35

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Solution

The fourth proportional to 1,250.42, 1,725.77 and 726.35 is: 1,002.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.42 : 1,725.77 = 726.35 : x
  2. Step 2: Convert to fraction form
    1,250.42/1,725.77 = 726.35/x
  3. Step 3: Cross multiply
    1,250.42x = 1,725.77 × 726.35
  4. Step 4: Simplify right side
    1,250.42x = 1,253,509.41
  5. Step 5: Solve for x
    x = 1,253,509.41/1,250.42
  6. Step 6: Final answer
    x = 1,002.47

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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.