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Finding the Fourth Proportional to 416.14, 620.68 and 408.85

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Solution

The fourth proportional to 416.14, 620.68 and 408.85 is: 609.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.14 : 620.68 = 408.85 : x
  2. Step 2: Convert to fraction form
    416.14/620.68 = 408.85/x
  3. Step 3: Cross multiply
    416.14x = 620.68 × 408.85
  4. Step 4: Simplify right side
    416.14x = 253,765.02
  5. Step 5: Solve for x
    x = 253,765.02/416.14
  6. Step 6: Final answer
    x = 609.81

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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.