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Finding the Fourth Proportional to 416.18, 620.54 and 408.90

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Solution

The fourth proportional to 416.18, 620.54 and 408.90 is: 609.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.18 : 620.54 = 408.90 : x
  2. Step 2: Convert to fraction form
    416.18/620.54 = 408.90/x
  3. Step 3: Cross multiply
    416.18x = 620.54 × 408.90
  4. Step 4: Simplify right side
    416.18x = 253,738.81
  5. Step 5: Solve for x
    x = 253,738.81/416.18
  6. Step 6: Final answer
    x = 609.69

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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.