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Finding the Fourth Proportional to 644.37, 966.66 and 413.11

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Solution

The fourth proportional to 644.37, 966.66 and 413.11 is: 619.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.37 : 966.66 = 413.11 : x
  2. Step 2: Convert to fraction form
    644.37/966.66 = 413.11/x
  3. Step 3: Cross multiply
    644.37x = 966.66 × 413.11
  4. Step 4: Simplify right side
    644.37x = 399,336.91
  5. Step 5: Solve for x
    x = 399,336.91/644.37
  6. Step 6: Final answer
    x = 619.73

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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.