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Finding the Fourth Proportional to 1,379.37, 2,067.75 and 546.99

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Solution

The fourth proportional to 1,379.37, 2,067.75 and 546.99 is: 819.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.37 : 2,067.75 = 546.99 : x
  2. Step 2: Convert to fraction form
    1,379.37/2,067.75 = 546.99/x
  3. Step 3: Cross multiply
    1,379.37x = 2,067.75 × 546.99
  4. Step 4: Simplify right side
    1,379.37x = 1,131,038.57
  5. Step 5: Solve for x
    x = 1,131,038.57/1,379.37
  6. Step 6: Final answer
    x = 819.97

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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.