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Finding the Fourth Proportional to 2,055.65, 3,083.49 and 516.65

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Solution

The fourth proportional to 2,055.65, 3,083.49 and 516.65 is: 774.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.65 : 3,083.49 = 516.65 : x
  2. Step 2: Convert to fraction form
    2,055.65/3,083.49 = 516.65/x
  3. Step 3: Cross multiply
    2,055.65x = 3,083.49 × 516.65
  4. Step 4: Simplify right side
    2,055.65x = 1,593,069.69
  5. Step 5: Solve for x
    x = 1,593,069.69/2,055.65
  6. Step 6: Final answer
    x = 774.97

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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.