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Finding the Fourth Proportional to 2,285.73, 3,428.60 and 725.74

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Solution

The fourth proportional to 2,285.73, 3,428.60 and 725.74 is: 1,088.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.73 : 3,428.60 = 725.74 : x
  2. Step 2: Convert to fraction form
    2,285.73/3,428.60 = 725.74/x
  3. Step 3: Cross multiply
    2,285.73x = 3,428.60 × 725.74
  4. Step 4: Simplify right side
    2,285.73x = 2,488,259.96
  5. Step 5: Solve for x
    x = 2,488,259.96/2,285.73
  6. Step 6: Final answer
    x = 1,088.61

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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.