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Finding the Fourth Proportional to 413.83, 620.74 and 105.68

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Solution

The fourth proportional to 413.83, 620.74 and 105.68 is: 158.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.83 : 620.74 = 105.68 : x
  2. Step 2: Convert to fraction form
    413.83/620.74 = 105.68/x
  3. Step 3: Cross multiply
    413.83x = 620.74 × 105.68
  4. Step 4: Simplify right side
    413.83x = 65,601.49
  5. Step 5: Solve for x
    x = 65,601.49/413.83
  6. Step 6: Final answer
    x = 158.52

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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.