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Finding the Fourth Proportional to 553.14, 827.73 and 413.82

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Solution

The fourth proportional to 553.14, 827.73 and 413.82 is: 619.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.14 : 827.73 = 413.82 : x
  2. Step 2: Convert to fraction form
    553.14/827.73 = 413.82/x
  3. Step 3: Cross multiply
    553.14x = 827.73 × 413.82
  4. Step 4: Simplify right side
    553.14x = 342,531.23
  5. Step 5: Solve for x
    x = 342,531.23/553.14
  6. Step 6: Final answer
    x = 619.25

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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.