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Finding the Fourth Proportional to 682.98, 1,024.81 and 272.41

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Solution

The fourth proportional to 682.98, 1,024.81 and 272.41 is: 408.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.98 : 1,024.81 = 272.41 : x
  2. Step 2: Convert to fraction form
    682.98/1,024.81 = 272.41/x
  3. Step 3: Cross multiply
    682.98x = 1,024.81 × 272.41
  4. Step 4: Simplify right side
    682.98x = 279,166.44
  5. Step 5: Solve for x
    x = 279,166.44/682.98
  6. Step 6: Final answer
    x = 408.75

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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.