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Finding the Fourth Proportional to 1,033.82, 1,550.74 and 726.15

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Solution

The fourth proportional to 1,033.82, 1,550.74 and 726.15 is: 1,089.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.82 : 1,550.74 = 726.15 : x
  2. Step 2: Convert to fraction form
    1,033.82/1,550.74 = 726.15/x
  3. Step 3: Cross multiply
    1,033.82x = 1,550.74 × 726.15
  4. Step 4: Simplify right side
    1,033.82x = 1,126,069.85
  5. Step 5: Solve for x
    x = 1,126,069.85/1,033.82
  6. Step 6: Final answer
    x = 1,089.23

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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.