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Finding the Fourth Proportional to 1,440.33, 2,161.17 and 516.66

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Solution

The fourth proportional to 1,440.33, 2,161.17 and 516.66 is: 775.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.33 : 2,161.17 = 516.66 : x
  2. Step 2: Convert to fraction form
    1,440.33/2,161.17 = 516.66/x
  3. Step 3: Cross multiply
    1,440.33x = 2,161.17 × 516.66
  4. Step 4: Simplify right side
    1,440.33x = 1,116,590.09
  5. Step 5: Solve for x
    x = 1,116,590.09/1,440.33
  6. Step 6: Final answer
    x = 775.23

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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.