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Finding the Fourth Proportional to 516.83, 713.45 and 330.56

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Solution

The fourth proportional to 516.83, 713.45 and 330.56 is: 456.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.83 : 713.45 = 330.56 : x
  2. Step 2: Convert to fraction form
    516.83/713.45 = 330.56/x
  3. Step 3: Cross multiply
    516.83x = 713.45 × 330.56
  4. Step 4: Simplify right side
    516.83x = 235,841.05
  5. Step 5: Solve for x
    x = 235,841.05/516.83
  6. Step 6: Final answer
    x = 456.33

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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.