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Finding the Fourth Proportional to 1,976.68, 2,965.20 and 515.85

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Solution

The fourth proportional to 1,976.68, 2,965.20 and 515.85 is: 773.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.68 : 2,965.20 = 515.85 : x
  2. Step 2: Convert to fraction form
    1,976.68/2,965.20 = 515.85/x
  3. Step 3: Cross multiply
    1,976.68x = 2,965.20 × 515.85
  4. Step 4: Simplify right side
    1,976.68x = 1,529,581.01
  5. Step 5: Solve for x
    x = 1,529,581.01/1,976.68
  6. Step 6: Final answer
    x = 773.81

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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.