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Finding the Fourth Proportional to 1,976.76, 2,965.32 and 806.49

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Solution

The fourth proportional to 1,976.76, 2,965.32 and 806.49 is: 1,209.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.76 : 2,965.32 = 806.49 : x
  2. Step 2: Convert to fraction form
    1,976.76/2,965.32 = 806.49/x
  3. Step 3: Cross multiply
    1,976.76x = 2,965.32 × 806.49
  4. Step 4: Simplify right side
    1,976.76x = 2,391,500.93
  5. Step 5: Solve for x
    x = 2,391,500.93/1,976.76
  6. Step 6: Final answer
    x = 1,209.81

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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.