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Finding the Fourth Proportional to 516.15, 771.09 and 513.72

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Solution

The fourth proportional to 516.15, 771.09 and 513.72 is: 767.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.15 : 771.09 = 513.72 : x
  2. Step 2: Convert to fraction form
    516.15/771.09 = 513.72/x
  3. Step 3: Cross multiply
    516.15x = 771.09 × 513.72
  4. Step 4: Simplify right side
    516.15x = 396,124.35
  5. Step 5: Solve for x
    x = 396,124.35/516.15
  6. Step 6: Final answer
    x = 767.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.