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Finding the Fourth Proportional to 516.99, 775.01 and 174.75

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Solution

The fourth proportional to 516.99, 775.01 and 174.75 is: 261.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.99 : 775.01 = 174.75 : x
  2. Step 2: Convert to fraction form
    516.99/775.01 = 174.75/x
  3. Step 3: Cross multiply
    516.99x = 775.01 × 174.75
  4. Step 4: Simplify right side
    516.99x = 135,432.12
  5. Step 5: Solve for x
    x = 135,432.12/516.99
  6. Step 6: Final answer
    x = 261.96

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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.