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Finding the Fourth Proportional to 516.96, 779.12 and 516.96

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Solution

The fourth proportional to 516.96, 779.12 and 516.96 is: 779.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.96 : 779.12 = 516.96 : x
  2. Step 2: Convert to fraction form
    516.96/779.12 = 516.96/x
  3. Step 3: Cross multiply
    516.96x = 779.12 × 516.96
  4. Step 4: Simplify right side
    516.96x = 402,773.88
  5. Step 5: Solve for x
    x = 402,773.88/516.96
  6. Step 6: Final answer
    x = 779.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.