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Finding the Fourth Proportional to 516.73, 713.10 and 320.26

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Solution

The fourth proportional to 516.73, 713.10 and 320.26 is: 441.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.73 : 713.10 = 320.26 : x
  2. Step 2: Convert to fraction form
    516.73/713.10 = 320.26/x
  3. Step 3: Cross multiply
    516.73x = 713.10 × 320.26
  4. Step 4: Simplify right side
    516.73x = 228,377.41
  5. Step 5: Solve for x
    x = 228,377.41/516.73
  6. Step 6: Final answer
    x = 441.97

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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.