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Finding the Fourth Proportional to 682.04, 1,022.86 and 243.22

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Solution

The fourth proportional to 682.04, 1,022.86 and 243.22 is: 364.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.04 : 1,022.86 = 243.22 : x
  2. Step 2: Convert to fraction form
    682.04/1,022.86 = 243.22/x
  3. Step 3: Cross multiply
    682.04x = 1,022.86 × 243.22
  4. Step 4: Simplify right side
    682.04x = 248,780.01
  5. Step 5: Solve for x
    x = 248,780.01/682.04
  6. Step 6: Final answer
    x = 364.76

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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.