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Finding the Fourth Proportional to 682.22, 1,023.95 and 422.72

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Solution

The fourth proportional to 682.22, 1,023.95 and 422.72 is: 634.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.22 : 1,023.95 = 422.72 : x
  2. Step 2: Convert to fraction form
    682.22/1,023.95 = 422.72/x
  3. Step 3: Cross multiply
    682.22x = 1,023.95 × 422.72
  4. Step 4: Simplify right side
    682.22x = 432,836.91
  5. Step 5: Solve for x
    x = 432,836.91/682.22
  6. Step 6: Final answer
    x = 634.46

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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.