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Finding the Fourth Proportional to 516.59, 778.44 and 427.29

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Solution

The fourth proportional to 516.59, 778.44 and 427.29 is: 643.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.59 : 778.44 = 427.29 : x
  2. Step 2: Convert to fraction form
    516.59/778.44 = 427.29/x
  3. Step 3: Cross multiply
    516.59x = 778.44 × 427.29
  4. Step 4: Simplify right side
    516.59x = 332,619.63
  5. Step 5: Solve for x
    x = 332,619.63/516.59
  6. Step 6: Final answer
    x = 643.87

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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.