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Finding the Fourth Proportional to 1,067.31, 1,599.75 and 547.56

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Solution

The fourth proportional to 1,067.31, 1,599.75 and 547.56 is: 820.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.31 : 1,599.75 = 547.56 : x
  2. Step 2: Convert to fraction form
    1,067.31/1,599.75 = 547.56/x
  3. Step 3: Cross multiply
    1,067.31x = 1,599.75 × 547.56
  4. Step 4: Simplify right side
    1,067.31x = 875,959.11
  5. Step 5: Solve for x
    x = 875,959.11/1,067.31
  6. Step 6: Final answer
    x = 820.72

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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.