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Finding the Fourth Proportional to 516.09, 777.68 and 426.79

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Solution

The fourth proportional to 516.09, 777.68 and 426.79 is: 643.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.09 : 777.68 = 426.79 : x
  2. Step 2: Convert to fraction form
    516.09/777.68 = 426.79/x
  3. Step 3: Cross multiply
    516.09x = 777.68 × 426.79
  4. Step 4: Simplify right side
    516.09x = 331,906.05
  5. Step 5: Solve for x
    x = 331,906.05/516.09
  6. Step 6: Final answer
    x = 643.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.