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Finding the Fourth Proportional to 516.25, 777.92 and 426.95

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Solution

The fourth proportional to 516.25, 777.92 and 426.95 is: 643.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.25 : 777.92 = 426.95 : x
  2. Step 2: Convert to fraction form
    516.25/777.92 = 426.95/x
  3. Step 3: Cross multiply
    516.25x = 777.92 × 426.95
  4. Step 4: Simplify right side
    516.25x = 332,132.94
  5. Step 5: Solve for x
    x = 332,132.94/516.25
  6. Step 6: Final answer
    x = 643.36

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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.