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Finding the Fourth Proportional to 490.51, 736.80 and 413.63

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Solution

The fourth proportional to 490.51, 736.80 and 413.63 is: 621.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.51 : 736.80 = 413.63 : x
  2. Step 2: Convert to fraction form
    490.51/736.80 = 413.63/x
  3. Step 3: Cross multiply
    490.51x = 736.80 × 413.63
  4. Step 4: Simplify right side
    490.51x = 304,759.08
  5. Step 5: Solve for x
    x = 304,759.08/490.51
  6. Step 6: Final answer
    x = 621.31

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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.