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Finding the Fourth Proportional to 516, 773.76 and 169.28

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Solution

The fourth proportional to 516, 773.76 and 169.28 is: 253.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    516 : 773.76 = 169.28 : x
  2. Step 2: Convert to fraction form
    516/773.76 = 169.28/x
  3. Step 3: Cross multiply
    516x = 773.76 × 169.28
  4. Step 4: Simplify right side
    516x = 130,982.09
  5. Step 5: Solve for x
    x = 130,982.09/516
  6. Step 6: Final answer
    x = 253.84

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