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Finding the Fourth Proportional to 766.73, 1,144.21 and 684.71

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Solution

The fourth proportional to 766.73, 1,144.21 and 684.71 is: 1,021.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.73 : 1,144.21 = 684.71 : x
  2. Step 2: Convert to fraction form
    766.73/1,144.21 = 684.71/x
  3. Step 3: Cross multiply
    766.73x = 1,144.21 × 684.71
  4. Step 4: Simplify right side
    766.73x = 783,448.61
  5. Step 5: Solve for x
    x = 783,448.61/766.73
  6. Step 6: Final answer
    x = 1,021.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.