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Finding the Fourth Proportional to 516.71, 775.13 and 208.60

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Solution

The fourth proportional to 516.71, 775.13 and 208.60 is: 312.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.71 : 775.13 = 208.60 : x
  2. Step 2: Convert to fraction form
    516.71/775.13 = 208.60/x
  3. Step 3: Cross multiply
    516.71x = 775.13 × 208.60
  4. Step 4: Simplify right side
    516.71x = 161,692.12
  5. Step 5: Solve for x
    x = 161,692.12/516.71
  6. Step 6: Final answer
    x = 312.93

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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.