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Finding the Fourth Proportional to 516.84, 778.81 and 427.54

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Solution

The fourth proportional to 516.84, 778.81 and 427.54 is: 644.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.84 : 778.81 = 427.54 : x
  2. Step 2: Convert to fraction form
    516.84/778.81 = 427.54/x
  3. Step 3: Cross multiply
    516.84x = 778.81 × 427.54
  4. Step 4: Simplify right side
    516.84x = 332,972.43
  5. Step 5: Solve for x
    x = 332,972.43/516.84
  6. Step 6: Final answer
    x = 644.25

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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.