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Finding the Fourth Proportional to 3,305.77, 4,958.84 and 840.61

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Solution

The fourth proportional to 3,305.77, 4,958.84 and 840.61 is: 1,260.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.77 : 4,958.84 = 840.61 : x
  2. Step 2: Convert to fraction form
    3,305.77/4,958.84 = 840.61/x
  3. Step 3: Cross multiply
    3,305.77x = 4,958.84 × 840.61
  4. Step 4: Simplify right side
    3,305.77x = 4,168,450.49
  5. Step 5: Solve for x
    x = 4,168,450.49/3,305.77
  6. Step 6: Final answer
    x = 1,260.96

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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.