Home / 1,004.19-1,506.36-273.75

Finding the Fourth Proportional to 1,004.19, 1,506.36 and 273.75

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Solution

The fourth proportional to 1,004.19, 1,506.36 and 273.75 is: 410.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.19 : 1,506.36 = 273.75 : x
  2. Step 2: Convert to fraction form
    1,004.19/1,506.36 = 273.75/x
  3. Step 3: Cross multiply
    1,004.19x = 1,506.36 × 273.75
  4. Step 4: Simplify right side
    1,004.19x = 412,366.05
  5. Step 5: Solve for x
    x = 412,366.05/1,004.19
  6. Step 6: Final answer
    x = 410.65

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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.