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Finding the Fourth Proportional to 840.22, 1,260.33 and 327.22

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Solution

The fourth proportional to 840.22, 1,260.33 and 327.22 is: 490.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.22 : 1,260.33 = 327.22 : x
  2. Step 2: Convert to fraction form
    840.22/1,260.33 = 327.22/x
  3. Step 3: Cross multiply
    840.22x = 1,260.33 × 327.22
  4. Step 4: Simplify right side
    840.22x = 412,403.55
  5. Step 5: Solve for x
    x = 412,403.55/840.22
  6. Step 6: Final answer
    x = 490.83

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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.