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Finding the Fourth Proportional to 413.61, 620.87 and 327.49

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Solution

The fourth proportional to 413.61, 620.87 and 327.49 is: 491.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.61 : 620.87 = 327.49 : x
  2. Step 2: Convert to fraction form
    413.61/620.87 = 327.49/x
  3. Step 3: Cross multiply
    413.61x = 620.87 × 327.49
  4. Step 4: Simplify right side
    413.61x = 203,329.02
  5. Step 5: Solve for x
    x = 203,329.02/413.61
  6. Step 6: Final answer
    x = 491.60

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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.