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Finding the Fourth Proportional to 517.56, 778.32 and 413.70

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Solution

The fourth proportional to 517.56, 778.32 and 413.70 is: 622.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.56 : 778.32 = 413.70 : x
  2. Step 2: Convert to fraction form
    517.56/778.32 = 413.70/x
  3. Step 3: Cross multiply
    517.56x = 778.32 × 413.70
  4. Step 4: Simplify right side
    517.56x = 321,990.98
  5. Step 5: Solve for x
    x = 321,990.98/517.56
  6. Step 6: Final answer
    x = 622.13

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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.