Home / 1,296.28-1,943.70-516.22

Finding the Fourth Proportional to 1,296.28, 1,943.70 and 516.22

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Solution

The fourth proportional to 1,296.28, 1,943.70 and 516.22 is: 774.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.28 : 1,943.70 = 516.22 : x
  2. Step 2: Convert to fraction form
    1,296.28/1,943.70 = 516.22/x
  3. Step 3: Cross multiply
    1,296.28x = 1,943.70 × 516.22
  4. Step 4: Simplify right side
    1,296.28x = 1,003,376.81
  5. Step 5: Solve for x
    x = 1,003,376.81/1,296.28
  6. Step 6: Final answer
    x = 774.04

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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.