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Finding the Fourth Proportional to 516.65, 774.86 and 191.78

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Solution

The fourth proportional to 516.65, 774.86 and 191.78 is: 287.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.65 : 774.86 = 191.78 : x
  2. Step 2: Convert to fraction form
    516.65/774.86 = 191.78/x
  3. Step 3: Cross multiply
    516.65x = 774.86 × 191.78
  4. Step 4: Simplify right side
    516.65x = 148,597.82
  5. Step 5: Solve for x
    x = 148,597.82/516.65
  6. Step 6: Final answer
    x = 287.62

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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.