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Finding the Fourth Proportional to 766.35, 1,149.09 and 419.55

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Solution

The fourth proportional to 766.35, 1,149.09 and 419.55 is: 629.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.35 : 1,149.09 = 419.55 : x
  2. Step 2: Convert to fraction form
    766.35/1,149.09 = 419.55/x
  3. Step 3: Cross multiply
    766.35x = 1,149.09 × 419.55
  4. Step 4: Simplify right side
    766.35x = 482,100.71
  5. Step 5: Solve for x
    x = 482,100.71/766.35
  6. Step 6: Final answer
    x = 629.09

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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.