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Finding the Fourth Proportional to 644.48, 968.31 and 413.47

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Solution

The fourth proportional to 644.48, 968.31 and 413.47 is: 621.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.48 : 968.31 = 413.47 : x
  2. Step 2: Convert to fraction form
    644.48/968.31 = 413.47/x
  3. Step 3: Cross multiply
    644.48x = 968.31 × 413.47
  4. Step 4: Simplify right side
    644.48x = 400,367.14
  5. Step 5: Solve for x
    x = 400,367.14/644.48
  6. Step 6: Final answer
    x = 621.23

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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.