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Finding the Fourth Proportional to 726.81, 1,090.41 and 294.27

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Solution

The fourth proportional to 726.81, 1,090.41 and 294.27 is: 441.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.81 : 1,090.41 = 294.27 : x
  2. Step 2: Convert to fraction form
    726.81/1,090.41 = 294.27/x
  3. Step 3: Cross multiply
    726.81x = 1,090.41 × 294.27
  4. Step 4: Simplify right side
    726.81x = 320,874.95
  5. Step 5: Solve for x
    x = 320,874.95/726.81
  6. Step 6: Final answer
    x = 441.48

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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.