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Finding the Fourth Proportional to 516.69, 712.71 and 320.09

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Solution

The fourth proportional to 516.69, 712.71 and 320.09 is: 441.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.69 : 712.71 = 320.09 : x
  2. Step 2: Convert to fraction form
    516.69/712.71 = 320.09/x
  3. Step 3: Cross multiply
    516.69x = 712.71 × 320.09
  4. Step 4: Simplify right side
    516.69x = 228,127.78
  5. Step 5: Solve for x
    x = 228,127.78/516.69
  6. Step 6: Final answer
    x = 441.52

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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.