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Finding the Fourth Proportional to 523.91, 779.87 and 516.12

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Solution

The fourth proportional to 523.91, 779.87 and 516.12 is: 768.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.91 : 779.87 = 516.12 : x
  2. Step 2: Convert to fraction form
    523.91/779.87 = 516.12/x
  3. Step 3: Cross multiply
    523.91x = 779.87 × 516.12
  4. Step 4: Simplify right side
    523.91x = 402,507.79
  5. Step 5: Solve for x
    x = 402,507.79/523.91
  6. Step 6: Final answer
    x = 768.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.