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Finding the Fourth Proportional to 503.97, 756.23 and 273.12

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Solution

The fourth proportional to 503.97, 756.23 and 273.12 is: 409.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.97 : 756.23 = 273.12 : x
  2. Step 2: Convert to fraction form
    503.97/756.23 = 273.12/x
  3. Step 3: Cross multiply
    503.97x = 756.23 × 273.12
  4. Step 4: Simplify right side
    503.97x = 206,540.17
  5. Step 5: Solve for x
    x = 206,540.17/503.97
  6. Step 6: Final answer
    x = 409.83

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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.