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Finding the Fourth Proportional to 2,405.75, 3,608.99 and 845.94

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Solution

The fourth proportional to 2,405.75, 3,608.99 and 845.94 is: 1,269.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.75 : 3,608.99 = 845.94 : x
  2. Step 2: Convert to fraction form
    2,405.75/3,608.99 = 845.94/x
  3. Step 3: Cross multiply
    2,405.75x = 3,608.99 × 845.94
  4. Step 4: Simplify right side
    2,405.75x = 3,052,984.77
  5. Step 5: Solve for x
    x = 3,052,984.77/2,405.75
  6. Step 6: Final answer
    x = 1,269.04

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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.