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Finding the Fourth Proportional to 726.72, 1,090.44 and 361.50

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Solution

The fourth proportional to 726.72, 1,090.44 and 361.50 is: 542.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.72 : 1,090.44 = 361.50 : x
  2. Step 2: Convert to fraction form
    726.72/1,090.44 = 361.50/x
  3. Step 3: Cross multiply
    726.72x = 1,090.44 × 361.50
  4. Step 4: Simplify right side
    726.72x = 394,194.06
  5. Step 5: Solve for x
    x = 394,194.06/726.72
  6. Step 6: Final answer
    x = 542.43

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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.