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Finding the Fourth Proportional to 1,067.25, 1,599.48 and 546.81

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Solution

The fourth proportional to 1,067.25, 1,599.48 and 546.81 is: 819.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.25 : 1,599.48 = 546.81 : x
  2. Step 2: Convert to fraction form
    1,067.25/1,599.48 = 546.81/x
  3. Step 3: Cross multiply
    1,067.25x = 1,599.48 × 546.81
  4. Step 4: Simplify right side
    1,067.25x = 874,611.66
  5. Step 5: Solve for x
    x = 874,611.66/1,067.25
  6. Step 6: Final answer
    x = 819.50

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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.