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Finding the Fourth Proportional to 516.53, 774.80 and 131.78

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Solution

The fourth proportional to 516.53, 774.80 and 131.78 is: 197.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.53 : 774.80 = 131.78 : x
  2. Step 2: Convert to fraction form
    516.53/774.80 = 131.78/x
  3. Step 3: Cross multiply
    516.53x = 774.80 × 131.78
  4. Step 4: Simplify right side
    516.53x = 102,099.27
  5. Step 5: Solve for x
    x = 102,099.27/516.53
  6. Step 6: Final answer
    x = 197.67

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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.