Home / 1,166.09-1,749.60-516.38

Finding the Fourth Proportional to 1,166.09, 1,749.60 and 516.38

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Solution

The fourth proportional to 1,166.09, 1,749.60 and 516.38 is: 774.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.09 : 1,749.60 = 516.38 : x
  2. Step 2: Convert to fraction form
    1,166.09/1,749.60 = 516.38/x
  3. Step 3: Cross multiply
    1,166.09x = 1,749.60 × 516.38
  4. Step 4: Simplify right side
    1,166.09x = 903,449.70
  5. Step 5: Solve for x
    x = 903,449.70/1,166.09
  6. Step 6: Final answer
    x = 774.77

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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.