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Finding the Fourth Proportional to 766.94, 1,149.36 and 419.76

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Solution

The fourth proportional to 766.94, 1,149.36 and 419.76 is: 629.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.94 : 1,149.36 = 419.76 : x
  2. Step 2: Convert to fraction form
    766.94/1,149.36 = 419.76/x
  3. Step 3: Cross multiply
    766.94x = 1,149.36 × 419.76
  4. Step 4: Simplify right side
    766.94x = 482,455.35
  5. Step 5: Solve for x
    x = 482,455.35/766.94
  6. Step 6: Final answer
    x = 629.07

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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.