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Finding the Fourth Proportional to 516.26, 778.72 and 486.32

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Solution

The fourth proportional to 516.26, 778.72 and 486.32 is: 733.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.26 : 778.72 = 486.32 : x
  2. Step 2: Convert to fraction form
    516.26/778.72 = 486.32/x
  3. Step 3: Cross multiply
    516.26x = 778.72 × 486.32
  4. Step 4: Simplify right side
    516.26x = 378,707.11
  5. Step 5: Solve for x
    x = 378,707.11/516.26
  6. Step 6: Final answer
    x = 733.56

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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.