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Finding the Fourth Proportional to 2,405.48, 3,608.53 and 845.37

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Solution

The fourth proportional to 2,405.48, 3,608.53 and 845.37 is: 1,268.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.48 : 3,608.53 = 845.37 : x
  2. Step 2: Convert to fraction form
    2,405.48/3,608.53 = 845.37/x
  3. Step 3: Cross multiply
    2,405.48x = 3,608.53 × 845.37
  4. Step 4: Simplify right side
    2,405.48x = 3,050,543.01
  5. Step 5: Solve for x
    x = 3,050,543.01/2,405.48
  6. Step 6: Final answer
    x = 1,268.16

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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.