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Finding the Fourth Proportional to 516.91, 778.86 and 427.61

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Solution

The fourth proportional to 516.91, 778.86 and 427.61 is: 644.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.91 : 778.86 = 427.61 : x
  2. Step 2: Convert to fraction form
    516.91/778.86 = 427.61/x
  3. Step 3: Cross multiply
    516.91x = 778.86 × 427.61
  4. Step 4: Simplify right side
    516.91x = 333,044.43
  5. Step 5: Solve for x
    x = 333,044.43/516.91
  6. Step 6: Final answer
    x = 644.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.