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Finding the Fourth Proportional to 644.37, 968.09 and 413.71

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Solution

The fourth proportional to 644.37, 968.09 and 413.71 is: 621.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.37 : 968.09 = 413.71 : x
  2. Step 2: Convert to fraction form
    644.37/968.09 = 413.71/x
  3. Step 3: Cross multiply
    644.37x = 968.09 × 413.71
  4. Step 4: Simplify right side
    644.37x = 400,501.60
  5. Step 5: Solve for x
    x = 400,501.60/644.37
  6. Step 6: Final answer
    x = 621.54

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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.