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Finding the Fourth Proportional to 516.96, 771.89 and 425.82

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Solution

The fourth proportional to 516.96, 771.89 and 425.82 is: 635.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.96 : 771.89 = 425.82 : x
  2. Step 2: Convert to fraction form
    516.96/771.89 = 425.82/x
  3. Step 3: Cross multiply
    516.96x = 771.89 × 425.82
  4. Step 4: Simplify right side
    516.96x = 328,684.07
  5. Step 5: Solve for x
    x = 328,684.07/516.96
  6. Step 6: Final answer
    x = 635.80

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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.