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Finding the Fourth Proportional to 516.85, 775.31 and 208.70

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Solution

The fourth proportional to 516.85, 775.31 and 208.70 is: 313.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.85 : 775.31 = 208.70 : x
  2. Step 2: Convert to fraction form
    516.85/775.31 = 208.70/x
  3. Step 3: Cross multiply
    516.85x = 775.31 × 208.70
  4. Step 4: Simplify right side
    516.85x = 161,807.20
  5. Step 5: Solve for x
    x = 161,807.20/516.85
  6. Step 6: Final answer
    x = 313.06

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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.