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Finding the Fourth Proportional to 416.76, 622.56 and 408.66

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Solution

The fourth proportional to 416.76, 622.56 and 408.66 is: 610.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.76 : 622.56 = 408.66 : x
  2. Step 2: Convert to fraction form
    416.76/622.56 = 408.66/x
  3. Step 3: Cross multiply
    416.76x = 622.56 × 408.66
  4. Step 4: Simplify right side
    416.76x = 254,415.37
  5. Step 5: Solve for x
    x = 254,415.37/416.76
  6. Step 6: Final answer
    x = 610.46

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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.