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Finding the Fourth Proportional to 518.56, 779.27 and 275.27

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Solution

The fourth proportional to 518.56, 779.27 and 275.27 is: 413.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.56 : 779.27 = 275.27 : x
  2. Step 2: Convert to fraction form
    518.56/779.27 = 275.27/x
  3. Step 3: Cross multiply
    518.56x = 779.27 × 275.27
  4. Step 4: Simplify right side
    518.56x = 214,504.38
  5. Step 5: Solve for x
    x = 214,504.38/518.56
  6. Step 6: Final answer
    x = 413.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.