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Finding the Fourth Proportional to 413.71, 621.78 and 366.32

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Solution

The fourth proportional to 413.71, 621.78 and 366.32 is: 550.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.71 : 621.78 = 366.32 : x
  2. Step 2: Convert to fraction form
    413.71/621.78 = 366.32/x
  3. Step 3: Cross multiply
    413.71x = 621.78 × 366.32
  4. Step 4: Simplify right side
    413.71x = 227,770.63
  5. Step 5: Solve for x
    x = 227,770.63/413.71
  6. Step 6: Final answer
    x = 550.56

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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.