Home / 1,109.38-1,664.43-492.97

Finding the Fourth Proportional to 1,109.38, 1,664.43 and 492.97

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Solution

The fourth proportional to 1,109.38, 1,664.43 and 492.97 is: 739.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.38 : 1,664.43 = 492.97 : x
  2. Step 2: Convert to fraction form
    1,109.38/1,664.43 = 492.97/x
  3. Step 3: Cross multiply
    1,109.38x = 1,664.43 × 492.97
  4. Step 4: Simplify right side
    1,109.38x = 820,514.06
  5. Step 5: Solve for x
    x = 820,514.06/1,109.38
  6. Step 6: Final answer
    x = 739.61

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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.