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Finding the Fourth Proportional to 1,440.62, 2,161.26 and 516.24

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Solution

The fourth proportional to 1,440.62, 2,161.26 and 516.24 is: 774.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.62 : 2,161.26 = 516.24 : x
  2. Step 2: Convert to fraction form
    1,440.62/2,161.26 = 516.24/x
  3. Step 3: Cross multiply
    1,440.62x = 2,161.26 × 516.24
  4. Step 4: Simplify right side
    1,440.62x = 1,115,728.86
  5. Step 5: Solve for x
    x = 1,115,728.86/1,440.62
  6. Step 6: Final answer
    x = 774.48

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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.