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Finding the Fourth Proportional to 765.96, 1,143.38 and 673.70

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Solution

The fourth proportional to 765.96, 1,143.38 and 673.70 is: 1,005.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.96 : 1,143.38 = 673.70 : x
  2. Step 2: Convert to fraction form
    765.96/1,143.38 = 673.70/x
  3. Step 3: Cross multiply
    765.96x = 1,143.38 × 673.70
  4. Step 4: Simplify right side
    765.96x = 770,295.11
  5. Step 5: Solve for x
    x = 770,295.11/765.96
  6. Step 6: Final answer
    x = 1,005.66

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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.