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Finding the Fourth Proportional to 516.64, 774.93 and 131.89

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Solution

The fourth proportional to 516.64, 774.93 and 131.89 is: 197.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.64 : 774.93 = 131.89 : x
  2. Step 2: Convert to fraction form
    516.64/774.93 = 131.89/x
  3. Step 3: Cross multiply
    516.64x = 774.93 × 131.89
  4. Step 4: Simplify right side
    516.64x = 102,205.52
  5. Step 5: Solve for x
    x = 102,205.52/516.64
  6. Step 6: Final answer
    x = 197.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.