Home / 1,296.19-1,945.08-516.06

Finding the Fourth Proportional to 1,296.19, 1,945.08 and 516.06

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Solution

The fourth proportional to 1,296.19, 1,945.08 and 516.06 is: 774.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.19 : 1,945.08 = 516.06 : x
  2. Step 2: Convert to fraction form
    1,296.19/1,945.08 = 516.06/x
  3. Step 3: Cross multiply
    1,296.19x = 1,945.08 × 516.06
  4. Step 4: Simplify right side
    1,296.19x = 1,003,777.98
  5. Step 5: Solve for x
    x = 1,003,777.98/1,296.19
  6. Step 6: Final answer
    x = 774.41

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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.