Home / 1,004.07-1,505.87-273.66

Finding the Fourth Proportional to 1,004.07, 1,505.87 and 273.66

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Solution

The fourth proportional to 1,004.07, 1,505.87 and 273.66 is: 410.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.07 : 1,505.87 = 273.66 : x
  2. Step 2: Convert to fraction form
    1,004.07/1,505.87 = 273.66/x
  3. Step 3: Cross multiply
    1,004.07x = 1,505.87 × 273.66
  4. Step 4: Simplify right side
    1,004.07x = 412,096.38
  5. Step 5: Solve for x
    x = 412,096.38/1,004.07
  6. Step 6: Final answer
    x = 410.43

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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.