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Finding the Fourth Proportional to 644.76, 968.34 and 413.88

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Solution

The fourth proportional to 644.76, 968.34 and 413.88 is: 621.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.76 : 968.34 = 413.88 : x
  2. Step 2: Convert to fraction form
    644.76/968.34 = 413.88/x
  3. Step 3: Cross multiply
    644.76x = 968.34 × 413.88
  4. Step 4: Simplify right side
    644.76x = 400,776.56
  5. Step 5: Solve for x
    x = 400,776.56/644.76
  6. Step 6: Final answer
    x = 621.59

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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.