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Finding the Fourth Proportional to 1,091.91, 1,637.84 and 270.17

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Solution

The fourth proportional to 1,091.91, 1,637.84 and 270.17 is: 405.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.91 : 1,637.84 = 270.17 : x
  2. Step 2: Convert to fraction form
    1,091.91/1,637.84 = 270.17/x
  3. Step 3: Cross multiply
    1,091.91x = 1,637.84 × 270.17
  4. Step 4: Simplify right side
    1,091.91x = 442,495.23
  5. Step 5: Solve for x
    x = 442,495.23/1,091.91
  6. Step 6: Final answer
    x = 405.25

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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.