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Finding the Fourth Proportional to 1,067.27, 1,472.65 and 619.18

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Solution

The fourth proportional to 1,067.27, 1,472.65 and 619.18 is: 854.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.27 : 1,472.65 = 619.18 : x
  2. Step 2: Convert to fraction form
    1,067.27/1,472.65 = 619.18/x
  3. Step 3: Cross multiply
    1,067.27x = 1,472.65 × 619.18
  4. Step 4: Simplify right side
    1,067.27x = 911,835.43
  5. Step 5: Solve for x
    x = 911,835.43/1,067.27
  6. Step 6: Final answer
    x = 854.36

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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.