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Finding the Fourth Proportional to 682.97, 1,024.32 and 196.01

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Solution

The fourth proportional to 682.97, 1,024.32 and 196.01 is: 293.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.97 : 1,024.32 = 196.01 : x
  2. Step 2: Convert to fraction form
    682.97/1,024.32 = 196.01/x
  3. Step 3: Cross multiply
    682.97x = 1,024.32 × 196.01
  4. Step 4: Simplify right side
    682.97x = 200,776.96
  5. Step 5: Solve for x
    x = 200,776.96/682.97
  6. Step 6: Final answer
    x = 293.98

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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.