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Finding the Fourth Proportional to 1,091.94, 1,637.90 and 270.22

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Solution

The fourth proportional to 1,091.94, 1,637.90 and 270.22 is: 405.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.94 : 1,637.90 = 270.22 : x
  2. Step 2: Convert to fraction form
    1,091.94/1,637.90 = 270.22/x
  3. Step 3: Cross multiply
    1,091.94x = 1,637.90 × 270.22
  4. Step 4: Simplify right side
    1,091.94x = 442,593.34
  5. Step 5: Solve for x
    x = 442,593.34/1,091.94
  6. Step 6: Final answer
    x = 405.33

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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.