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Finding the Fourth Proportional to 516.31, 773.07 and 378.31

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Solution

The fourth proportional to 516.31, 773.07 and 378.31 is: 566.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.31 : 773.07 = 378.31 : x
  2. Step 2: Convert to fraction form
    516.31/773.07 = 378.31/x
  3. Step 3: Cross multiply
    516.31x = 773.07 × 378.31
  4. Step 4: Simplify right side
    516.31x = 292,460.11
  5. Step 5: Solve for x
    x = 292,460.11/516.31
  6. Step 6: Final answer
    x = 566.44

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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.