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Finding the Fourth Proportional to 682.62, 1,023.54 and 243.68

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Solution

The fourth proportional to 682.62, 1,023.54 and 243.68 is: 365.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.62 : 1,023.54 = 243.68 : x
  2. Step 2: Convert to fraction form
    682.62/1,023.54 = 243.68/x
  3. Step 3: Cross multiply
    682.62x = 1,023.54 × 243.68
  4. Step 4: Simplify right side
    682.62x = 249,416.23
  5. Step 5: Solve for x
    x = 249,416.23/682.62
  6. Step 6: Final answer
    x = 365.38

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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.