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Finding the Fourth Proportional to 644.17, 964.62 and 413.32

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Solution

The fourth proportional to 644.17, 964.62 and 413.32 is: 618.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.17 : 964.62 = 413.32 : x
  2. Step 2: Convert to fraction form
    644.17/964.62 = 413.32/x
  3. Step 3: Cross multiply
    644.17x = 964.62 × 413.32
  4. Step 4: Simplify right side
    644.17x = 398,696.74
  5. Step 5: Solve for x
    x = 398,696.74/644.17
  6. Step 6: Final answer
    x = 618.93

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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.