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Finding the Fourth Proportional to 516.54, 773.85 and 342.69

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Solution

The fourth proportional to 516.54, 773.85 and 342.69 is: 513.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.54 : 773.85 = 342.69 : x
  2. Step 2: Convert to fraction form
    516.54/773.85 = 342.69/x
  3. Step 3: Cross multiply
    516.54x = 773.85 × 342.69
  4. Step 4: Simplify right side
    516.54x = 265,190.66
  5. Step 5: Solve for x
    x = 265,190.66/516.54
  6. Step 6: Final answer
    x = 513.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.