Home / 1,166.30-1,748.54-516.28

Finding the Fourth Proportional to 1,166.30, 1,748.54 and 516.28

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Solution

The fourth proportional to 1,166.30, 1,748.54 and 516.28 is: 774.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.30 : 1,748.54 = 516.28 : x
  2. Step 2: Convert to fraction form
    1,166.30/1,748.54 = 516.28/x
  3. Step 3: Cross multiply
    1,166.30x = 1,748.54 × 516.28
  4. Step 4: Simplify right side
    1,166.30x = 902,736.23
  5. Step 5: Solve for x
    x = 902,736.23/1,166.30
  6. Step 6: Final answer
    x = 774.02

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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.