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Finding the Fourth Proportional to 444.40, 662.90 and 422.80

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Solution

The fourth proportional to 444.40, 662.90 and 422.80 is: 630.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.40 : 662.90 = 422.80 : x
  2. Step 2: Convert to fraction form
    444.40/662.90 = 422.80/x
  3. Step 3: Cross multiply
    444.40x = 662.90 × 422.80
  4. Step 4: Simplify right side
    444.40x = 280,274.12
  5. Step 5: Solve for x
    x = 280,274.12/444.40
  6. Step 6: Final answer
    x = 630.68

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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.