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Finding the Fourth Proportional to 644.52, 968.31 and 413.86

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Solution

The fourth proportional to 644.52, 968.31 and 413.86 is: 621.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.52 : 968.31 = 413.86 : x
  2. Step 2: Convert to fraction form
    644.52/968.31 = 413.86/x
  3. Step 3: Cross multiply
    644.52x = 968.31 × 413.86
  4. Step 4: Simplify right side
    644.52x = 400,744.78
  5. Step 5: Solve for x
    x = 400,744.78/644.52
  6. Step 6: Final answer
    x = 621.77

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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.