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Finding the Fourth Proportional to 681.44, 1,023.68 and 421.64

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Solution

The fourth proportional to 681.44, 1,023.68 and 421.64 is: 633.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.44 : 1,023.68 = 421.64 : x
  2. Step 2: Convert to fraction form
    681.44/1,023.68 = 421.64/x
  3. Step 3: Cross multiply
    681.44x = 1,023.68 × 421.64
  4. Step 4: Simplify right side
    681.44x = 431,620.37
  5. Step 5: Solve for x
    x = 431,620.37/681.44
  6. Step 6: Final answer
    x = 633.39

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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.