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Finding the Fourth Proportional to 766.38, 1,143.64 and 684.34

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Solution

The fourth proportional to 766.38, 1,143.64 and 684.34 is: 1,021.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.38 : 1,143.64 = 684.34 : x
  2. Step 2: Convert to fraction form
    766.38/1,143.64 = 684.34/x
  3. Step 3: Cross multiply
    766.38x = 1,143.64 × 684.34
  4. Step 4: Simplify right side
    766.38x = 782,638.60
  5. Step 5: Solve for x
    x = 782,638.60/766.38
  6. Step 6: Final answer
    x = 1,021.21

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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.