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Finding the Fourth Proportional to 1,977.13, 2,965.70 and 516.43

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Solution

The fourth proportional to 1,977.13, 2,965.70 and 516.43 is: 774.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.13 : 2,965.70 = 516.43 : x
  2. Step 2: Convert to fraction form
    1,977.13/2,965.70 = 516.43/x
  3. Step 3: Cross multiply
    1,977.13x = 2,965.70 × 516.43
  4. Step 4: Simplify right side
    1,977.13x = 1,531,576.45
  5. Step 5: Solve for x
    x = 1,531,576.45/1,977.13
  6. Step 6: Final answer
    x = 774.65

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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.