Home / 1,166.28-1,748.42-516.52

Finding the Fourth Proportional to 1,166.28, 1,748.42 and 516.52

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Solution

The fourth proportional to 1,166.28, 1,748.42 and 516.52 is: 774.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.28 : 1,748.42 = 516.52 : x
  2. Step 2: Convert to fraction form
    1,166.28/1,748.42 = 516.52/x
  3. Step 3: Cross multiply
    1,166.28x = 1,748.42 × 516.52
  4. Step 4: Simplify right side
    1,166.28x = 903,093.90
  5. Step 5: Solve for x
    x = 903,093.90/1,166.28
  6. Step 6: Final answer
    x = 774.34

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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.