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Finding the Fourth Proportional to 516.37, 713.61 and 422.96

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Solution

The fourth proportional to 516.37, 713.61 and 422.96 is: 584.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.37 : 713.61 = 422.96 : x
  2. Step 2: Convert to fraction form
    516.37/713.61 = 422.96/x
  3. Step 3: Cross multiply
    516.37x = 713.61 × 422.96
  4. Step 4: Simplify right side
    516.37x = 301,830.94
  5. Step 5: Solve for x
    x = 301,830.94/516.37
  6. Step 6: Final answer
    x = 584.53

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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.