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Finding the Fourth Proportional to 516.80, 773.04 and 413.66

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Solution

The fourth proportional to 516.80, 773.04 and 413.66 is: 618.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.80 : 773.04 = 413.66 : x
  2. Step 2: Convert to fraction form
    516.80/773.04 = 413.66/x
  3. Step 3: Cross multiply
    516.80x = 773.04 × 413.66
  4. Step 4: Simplify right side
    516.80x = 319,775.73
  5. Step 5: Solve for x
    x = 319,775.73/516.80
  6. Step 6: Final answer
    x = 618.76

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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.