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Finding the Fourth Proportional to 1,101.04, 1,651.96 and 516.56

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Solution

The fourth proportional to 1,101.04, 1,651.96 and 516.56 is: 775.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.04 : 1,651.96 = 516.56 : x
  2. Step 2: Convert to fraction form
    1,101.04/1,651.96 = 516.56/x
  3. Step 3: Cross multiply
    1,101.04x = 1,651.96 × 516.56
  4. Step 4: Simplify right side
    1,101.04x = 853,336.46
  5. Step 5: Solve for x
    x = 853,336.46/1,101.04
  6. Step 6: Final answer
    x = 775.03

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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.