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Finding the Fourth Proportional to 516.50, 773.02 and 394.05

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Solution

The fourth proportional to 516.50, 773.02 and 394.05 is: 589.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.50 : 773.02 = 394.05 : x
  2. Step 2: Convert to fraction form
    516.50/773.02 = 394.05/x
  3. Step 3: Cross multiply
    516.50x = 773.02 × 394.05
  4. Step 4: Simplify right side
    516.50x = 304,608.53
  5. Step 5: Solve for x
    x = 304,608.53/516.50
  6. Step 6: Final answer
    x = 589.76

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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.