Home / 1,004.31-1,506.26-273.83

Finding the Fourth Proportional to 1,004.31, 1,506.26 and 273.83

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Solution

The fourth proportional to 1,004.31, 1,506.26 and 273.83 is: 410.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.31 : 1,506.26 = 273.83 : x
  2. Step 2: Convert to fraction form
    1,004.31/1,506.26 = 273.83/x
  3. Step 3: Cross multiply
    1,004.31x = 1,506.26 × 273.83
  4. Step 4: Simplify right side
    1,004.31x = 412,452.33
  5. Step 5: Solve for x
    x = 412,452.33/1,004.31
  6. Step 6: Final answer
    x = 410.68

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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.