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Finding the Fourth Proportional to 727.40, 1,090.71 and 361.74

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Solution

The fourth proportional to 727.40, 1,090.71 and 361.74 is: 542.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.40 : 1,090.71 = 361.74 : x
  2. Step 2: Convert to fraction form
    727.40/1,090.71 = 361.74/x
  3. Step 3: Cross multiply
    727.40x = 1,090.71 × 361.74
  4. Step 4: Simplify right side
    727.40x = 394,553.44
  5. Step 5: Solve for x
    x = 394,553.44/727.40
  6. Step 6: Final answer
    x = 542.42

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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.