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Finding the Fourth Proportional to 2,228.67, 3,342.87 and 585.18

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Solution

The fourth proportional to 2,228.67, 3,342.87 and 585.18 is: 877.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.67 : 3,342.87 = 585.18 : x
  2. Step 2: Convert to fraction form
    2,228.67/3,342.87 = 585.18/x
  3. Step 3: Cross multiply
    2,228.67x = 3,342.87 × 585.18
  4. Step 4: Simplify right side
    2,228.67x = 1,956,180.67
  5. Step 5: Solve for x
    x = 1,956,180.67/2,228.67
  6. Step 6: Final answer
    x = 877.73

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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.