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Finding the Fourth Proportional to 517.81, 776.17 and 273.73

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Solution

The fourth proportional to 517.81, 776.17 and 273.73 is: 410.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.81 : 776.17 = 273.73 : x
  2. Step 2: Convert to fraction form
    517.81/776.17 = 273.73/x
  3. Step 3: Cross multiply
    517.81x = 776.17 × 273.73
  4. Step 4: Simplify right side
    517.81x = 212,461.01
  5. Step 5: Solve for x
    x = 212,461.01/517.81
  6. Step 6: Final answer
    x = 410.31

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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.