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Finding the Fourth Proportional to 450.55, 618.09 and 422.61

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Solution

The fourth proportional to 450.55, 618.09 and 422.61 is: 579.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.55 : 618.09 = 422.61 : x
  2. Step 2: Convert to fraction form
    450.55/618.09 = 422.61/x
  3. Step 3: Cross multiply
    450.55x = 618.09 × 422.61
  4. Step 4: Simplify right side
    450.55x = 261,211.01
  5. Step 5: Solve for x
    x = 261,211.01/450.55
  6. Step 6: Final answer
    x = 579.76

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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.