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Finding the Fourth Proportional to 1,440.86, 2,161.63 and 516.62

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Solution

The fourth proportional to 1,440.86, 2,161.63 and 516.62 is: 775.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.86 : 2,161.63 = 516.62 : x
  2. Step 2: Convert to fraction form
    1,440.86/2,161.63 = 516.62/x
  3. Step 3: Cross multiply
    1,440.86x = 2,161.63 × 516.62
  4. Step 4: Simplify right side
    1,440.86x = 1,116,741.29
  5. Step 5: Solve for x
    x = 1,116,741.29/1,440.86
  6. Step 6: Final answer
    x = 775.05

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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.