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Finding the Fourth Proportional to 422.09, 632.83 and 284.79

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Solution

The fourth proportional to 422.09, 632.83 and 284.79 is: 426.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.09 : 632.83 = 284.79 : x
  2. Step 2: Convert to fraction form
    422.09/632.83 = 284.79/x
  3. Step 3: Cross multiply
    422.09x = 632.83 × 284.79
  4. Step 4: Simplify right side
    422.09x = 180,223.66
  5. Step 5: Solve for x
    x = 180,223.66/422.09
  6. Step 6: Final answer
    x = 426.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.