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Finding the Fourth Proportional to 682.45, 1,023.67 and 243.68

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Solution

The fourth proportional to 682.45, 1,023.67 and 243.68 is: 365.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.45 : 1,023.67 = 243.68 : x
  2. Step 2: Convert to fraction form
    682.45/1,023.67 = 243.68/x
  3. Step 3: Cross multiply
    682.45x = 1,023.67 × 243.68
  4. Step 4: Simplify right side
    682.45x = 249,446.02
  5. Step 5: Solve for x
    x = 249,446.02/682.45
  6. Step 6: Final answer
    x = 365.52

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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.