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Finding the Fourth Proportional to 422.46, 628.98 and 416.39

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Solution

The fourth proportional to 422.46, 628.98 and 416.39 is: 619.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.46 : 628.98 = 416.39 : x
  2. Step 2: Convert to fraction form
    422.46/628.98 = 416.39/x
  3. Step 3: Cross multiply
    422.46x = 628.98 × 416.39
  4. Step 4: Simplify right side
    422.46x = 261,900.98
  5. Step 5: Solve for x
    x = 261,900.98/422.46
  6. Step 6: Final answer
    x = 619.94

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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.