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Finding the Fourth Proportional to 1,209.83, 1,814.97 and 516.48

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Solution

The fourth proportional to 1,209.83, 1,814.97 and 516.48 is: 774.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.83 : 1,814.97 = 516.48 : x
  2. Step 2: Convert to fraction form
    1,209.83/1,814.97 = 516.48/x
  3. Step 3: Cross multiply
    1,209.83x = 1,814.97 × 516.48
  4. Step 4: Simplify right side
    1,209.83x = 937,395.71
  5. Step 5: Solve for x
    x = 937,395.71/1,209.83
  6. Step 6: Final answer
    x = 774.82

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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.