Home / 1,109.38-1,664.34-329.44

Finding the Fourth Proportional to 1,109.38, 1,664.34 and 329.44

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Solution

The fourth proportional to 1,109.38, 1,664.34 and 329.44 is: 494.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.38 : 1,664.34 = 329.44 : x
  2. Step 2: Convert to fraction form
    1,109.38/1,664.34 = 329.44/x
  3. Step 3: Cross multiply
    1,109.38x = 1,664.34 × 329.44
  4. Step 4: Simplify right side
    1,109.38x = 548,300.17
  5. Step 5: Solve for x
    x = 548,300.17/1,109.38
  6. Step 6: Final answer
    x = 494.24

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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.