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Finding the Fourth Proportional to 516.87, 778.86 and 427.58

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Solution

The fourth proportional to 516.87, 778.86 and 427.58 is: 644.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.87 : 778.86 = 427.58 : x
  2. Step 2: Convert to fraction form
    516.87/778.86 = 427.58/x
  3. Step 3: Cross multiply
    516.87x = 778.86 × 427.58
  4. Step 4: Simplify right side
    516.87x = 333,021.06
  5. Step 5: Solve for x
    x = 333,021.06/516.87
  6. Step 6: Final answer
    x = 644.30

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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.