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Finding the Fourth Proportional to 511.49, 704.36 and 380.27

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Solution

The fourth proportional to 511.49, 704.36 and 380.27 is: 523.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.49 : 704.36 = 380.27 : x
  2. Step 2: Convert to fraction form
    511.49/704.36 = 380.27/x
  3. Step 3: Cross multiply
    511.49x = 704.36 × 380.27
  4. Step 4: Simplify right side
    511.49x = 267,845.08
  5. Step 5: Solve for x
    x = 267,845.08/511.49
  6. Step 6: Final answer
    x = 523.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.