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Finding the Fourth Proportional to 511.97, 704.75 and 387.33

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Solution

The fourth proportional to 511.97, 704.75 and 387.33 is: 533.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.97 : 704.75 = 387.33 : x
  2. Step 2: Convert to fraction form
    511.97/704.75 = 387.33/x
  3. Step 3: Cross multiply
    511.97x = 704.75 × 387.33
  4. Step 4: Simplify right side
    511.97x = 272,972.38
  5. Step 5: Solve for x
    x = 272,972.38/511.97
  6. Step 6: Final answer
    x = 533.18

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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.