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Finding the Fourth Proportional to 1,091.92, 1,637.67 and 361.41

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Solution

The fourth proportional to 1,091.92, 1,637.67 and 361.41 is: 542.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.92 : 1,637.67 = 361.41 : x
  2. Step 2: Convert to fraction form
    1,091.92/1,637.67 = 361.41/x
  3. Step 3: Cross multiply
    1,091.92x = 1,637.67 × 361.41
  4. Step 4: Simplify right side
    1,091.92x = 591,870.31
  5. Step 5: Solve for x
    x = 591,870.31/1,091.92
  6. Step 6: Final answer
    x = 542.05

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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.