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Finding the Fourth Proportional to 1,092.58, 1,636.13 and 726.26

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Solution

The fourth proportional to 1,092.58, 1,636.13 and 726.26 is: 1,087.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.58 : 1,636.13 = 726.26 : x
  2. Step 2: Convert to fraction form
    1,092.58/1,636.13 = 726.26/x
  3. Step 3: Cross multiply
    1,092.58x = 1,636.13 × 726.26
  4. Step 4: Simplify right side
    1,092.58x = 1,188,255.77
  5. Step 5: Solve for x
    x = 1,188,255.77/1,092.58
  6. Step 6: Final answer
    x = 1,087.57

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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.