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Finding the Fourth Proportional to 444.36, 662.13 and 416.46

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Solution

The fourth proportional to 444.36, 662.13 and 416.46 is: 620.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.36 : 662.13 = 416.46 : x
  2. Step 2: Convert to fraction form
    444.36/662.13 = 416.46/x
  3. Step 3: Cross multiply
    444.36x = 662.13 × 416.46
  4. Step 4: Simplify right side
    444.36x = 275,750.66
  5. Step 5: Solve for x
    x = 275,750.66/444.36
  6. Step 6: Final answer
    x = 620.56

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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.