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Finding the Fourth Proportional to 2,228.75, 3,342.86 and 585.43

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Solution

The fourth proportional to 2,228.75, 3,342.86 and 585.43 is: 878.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.75 : 3,342.86 = 585.43 : x
  2. Step 2: Convert to fraction form
    2,228.75/3,342.86 = 585.43/x
  3. Step 3: Cross multiply
    2,228.75x = 3,342.86 × 585.43
  4. Step 4: Simplify right side
    2,228.75x = 1,957,003.64
  5. Step 5: Solve for x
    x = 1,957,003.64/2,228.75
  6. Step 6: Final answer
    x = 878.07

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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.