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Finding the Fourth Proportional to 517.97, 775.26 and 380.96

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Solution

The fourth proportional to 517.97, 775.26 and 380.96 is: 570.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.97 : 775.26 = 380.96 : x
  2. Step 2: Convert to fraction form
    517.97/775.26 = 380.96/x
  3. Step 3: Cross multiply
    517.97x = 775.26 × 380.96
  4. Step 4: Simplify right side
    517.97x = 295,343.05
  5. Step 5: Solve for x
    x = 295,343.05/517.97
  6. Step 6: Final answer
    x = 570.19

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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.