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Finding the Fourth Proportional to 516.89, 776.50 and 447.73

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Solution

The fourth proportional to 516.89, 776.50 and 447.73 is: 672.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.89 : 776.50 = 447.73 : x
  2. Step 2: Convert to fraction form
    516.89/776.50 = 447.73/x
  3. Step 3: Cross multiply
    516.89x = 776.50 × 447.73
  4. Step 4: Simplify right side
    516.89x = 347,659.28
  5. Step 5: Solve for x
    x = 347,659.28/516.89
  6. Step 6: Final answer
    x = 672.59

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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.