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Finding the Fourth Proportional to 590, 814.20 and 516.56

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Solution

The fourth proportional to 590, 814.20 and 516.56 is: 712.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    590 : 814.20 = 516.56 : x
  2. Step 2: Convert to fraction form
    590/814.20 = 516.56/x
  3. Step 3: Cross multiply
    590x = 814.20 × 516.56
  4. Step 4: Simplify right side
    590x = 420,583.15
  5. Step 5: Solve for x
    x = 420,583.15/590
  6. Step 6: Final answer
    x = 712.85

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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.