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Finding the Fourth Proportional to 444.24, 662.45 and 413.46

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Solution

The fourth proportional to 444.24, 662.45 and 413.46 is: 616.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.24 : 662.45 = 413.46 : x
  2. Step 2: Convert to fraction form
    444.24/662.45 = 413.46/x
  3. Step 3: Cross multiply
    444.24x = 662.45 × 413.46
  4. Step 4: Simplify right side
    444.24x = 273,894.51
  5. Step 5: Solve for x
    x = 273,894.51/444.24
  6. Step 6: Final answer
    x = 616.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.