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Finding the Fourth Proportional to 450.81, 618.42 and 422.85

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Solution

The fourth proportional to 450.81, 618.42 and 422.85 is: 580.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.81 : 618.42 = 422.85 : x
  2. Step 2: Convert to fraction form
    450.81/618.42 = 422.85/x
  3. Step 3: Cross multiply
    450.81x = 618.42 × 422.85
  4. Step 4: Simplify right side
    450.81x = 261,498.90
  5. Step 5: Solve for x
    x = 261,498.90/450.81
  6. Step 6: Final answer
    x = 580.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.