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Finding the Fourth Proportional to 682.84, 1,024.22 and 422.88

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Solution

The fourth proportional to 682.84, 1,024.22 and 422.88 is: 634.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.84 : 1,024.22 = 422.88 : x
  2. Step 2: Convert to fraction form
    682.84/1,024.22 = 422.88/x
  3. Step 3: Cross multiply
    682.84x = 1,024.22 × 422.88
  4. Step 4: Simplify right side
    682.84x = 433,122.15
  5. Step 5: Solve for x
    x = 433,122.15/682.84
  6. Step 6: Final answer
    x = 634.30

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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.