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Finding the Fourth Proportional to 511.24, 704.69 and 371.36

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Solution

The fourth proportional to 511.24, 704.69 and 371.36 is: 511.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.24 : 704.69 = 371.36 : x
  2. Step 2: Convert to fraction form
    511.24/704.69 = 371.36/x
  3. Step 3: Cross multiply
    511.24x = 704.69 × 371.36
  4. Step 4: Simplify right side
    511.24x = 261,693.68
  5. Step 5: Solve for x
    x = 261,693.68/511.24
  6. Step 6: Final answer
    x = 511.88

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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.