Home / 1,165.71-1,748.33-516.03

Finding the Fourth Proportional to 1,165.71, 1,748.33 and 516.03

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Solution

The fourth proportional to 1,165.71, 1,748.33 and 516.03 is: 773.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.71 : 1,748.33 = 516.03 : x
  2. Step 2: Convert to fraction form
    1,165.71/1,748.33 = 516.03/x
  3. Step 3: Cross multiply
    1,165.71x = 1,748.33 × 516.03
  4. Step 4: Simplify right side
    1,165.71x = 902,188.15
  5. Step 5: Solve for x
    x = 902,188.15/1,165.71
  6. Step 6: Final answer
    x = 773.94

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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.