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Finding the Fourth Proportional to 811.62, 1,120.17 and 516.99

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Solution

The fourth proportional to 811.62, 1,120.17 and 516.99 is: 713.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.62 : 1,120.17 = 516.99 : x
  2. Step 2: Convert to fraction form
    811.62/1,120.17 = 516.99/x
  3. Step 3: Cross multiply
    811.62x = 1,120.17 × 516.99
  4. Step 4: Simplify right side
    811.62x = 579,116.69
  5. Step 5: Solve for x
    x = 579,116.69/811.62
  6. Step 6: Final answer
    x = 713.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.