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Finding the Fourth Proportional to 517.21, 775.91 and 273.94

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Solution

The fourth proportional to 517.21, 775.91 and 273.94 is: 410.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.21 : 775.91 = 273.94 : x
  2. Step 2: Convert to fraction form
    517.21/775.91 = 273.94/x
  3. Step 3: Cross multiply
    517.21x = 775.91 × 273.94
  4. Step 4: Simplify right side
    517.21x = 212,552.79
  5. Step 5: Solve for x
    x = 212,552.79/517.21
  6. Step 6: Final answer
    x = 410.96

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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.