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Finding the Fourth Proportional to 1,228.67, 1,843.23 and 579.41

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Solution

The fourth proportional to 1,228.67, 1,843.23 and 579.41 is: 869.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.67 : 1,843.23 = 579.41 : x
  2. Step 2: Convert to fraction form
    1,228.67/1,843.23 = 579.41/x
  3. Step 3: Cross multiply
    1,228.67x = 1,843.23 × 579.41
  4. Step 4: Simplify right side
    1,228.67x = 1,067,985.89
  5. Step 5: Solve for x
    x = 1,067,985.89/1,228.67
  6. Step 6: Final answer
    x = 869.22

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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.