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Finding the Fourth Proportional to 416.30, 620.13 and 406.70

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Solution

The fourth proportional to 416.30, 620.13 and 406.70 is: 605.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.30 : 620.13 = 406.70 : x
  2. Step 2: Convert to fraction form
    416.30/620.13 = 406.70/x
  3. Step 3: Cross multiply
    416.30x = 620.13 × 406.70
  4. Step 4: Simplify right side
    416.30x = 252,206.87
  5. Step 5: Solve for x
    x = 252,206.87/416.30
  6. Step 6: Final answer
    x = 605.83

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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.