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Finding the Fourth Proportional to 516.78, 771.42 and 429.30

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Solution

The fourth proportional to 516.78, 771.42 and 429.30 is: 640.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.78 : 771.42 = 429.30 : x
  2. Step 2: Convert to fraction form
    516.78/771.42 = 429.30/x
  3. Step 3: Cross multiply
    516.78x = 771.42 × 429.30
  4. Step 4: Simplify right side
    516.78x = 331,172.22
  5. Step 5: Solve for x
    x = 331,172.22/516.78
  6. Step 6: Final answer
    x = 640.84

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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.