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Finding the Fourth Proportional to 517.72, 775.38 and 273.64

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Solution

The fourth proportional to 517.72, 775.38 and 273.64 is: 409.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.72 : 775.38 = 273.64 : x
  2. Step 2: Convert to fraction form
    517.72/775.38 = 273.64/x
  3. Step 3: Cross multiply
    517.72x = 775.38 × 273.64
  4. Step 4: Simplify right side
    517.72x = 212,174.98
  5. Step 5: Solve for x
    x = 212,174.98/517.72
  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.