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Finding the Fourth Proportional to 766.44, 1,149.37 and 420.03

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Solution

The fourth proportional to 766.44, 1,149.37 and 420.03 is: 629.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.44 : 1,149.37 = 420.03 : x
  2. Step 2: Convert to fraction form
    766.44/1,149.37 = 420.03/x
  3. Step 3: Cross multiply
    766.44x = 1,149.37 × 420.03
  4. Step 4: Simplify right side
    766.44x = 482,769.88
  5. Step 5: Solve for x
    x = 482,769.88/766.44
  6. Step 6: Final answer
    x = 629.89

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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.