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Finding the Fourth Proportional to 490.60, 733.98 and 413.74

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Solution

The fourth proportional to 490.60, 733.98 and 413.74 is: 618.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.60 : 733.98 = 413.74 : x
  2. Step 2: Convert to fraction form
    490.60/733.98 = 413.74/x
  3. Step 3: Cross multiply
    490.60x = 733.98 × 413.74
  4. Step 4: Simplify right side
    490.60x = 303,676.89
  5. Step 5: Solve for x
    x = 303,676.89/490.60
  6. Step 6: Final answer
    x = 618.99

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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.