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Finding the Fourth Proportional to 444.20, 663.01 and 416.84

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Solution

The fourth proportional to 444.20, 663.01 and 416.84 is: 622.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.20 : 663.01 = 416.84 : x
  2. Step 2: Convert to fraction form
    444.20/663.01 = 416.84/x
  3. Step 3: Cross multiply
    444.20x = 663.01 × 416.84
  4. Step 4: Simplify right side
    444.20x = 276,369.09
  5. Step 5: Solve for x
    x = 276,369.09/444.20
  6. Step 6: Final answer
    x = 622.17

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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.