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Finding the Fourth Proportional to 516.42, 771.39 and 341.64

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Solution

The fourth proportional to 516.42, 771.39 and 341.64 is: 510.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.42 : 771.39 = 341.64 : x
  2. Step 2: Convert to fraction form
    516.42/771.39 = 341.64/x
  3. Step 3: Cross multiply
    516.42x = 771.39 × 341.64
  4. Step 4: Simplify right side
    516.42x = 263,537.68
  5. Step 5: Solve for x
    x = 263,537.68/516.42
  6. Step 6: Final answer
    x = 510.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.