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Finding the Fourth Proportional to 845.38, 1,268.17 and 325.26

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Solution

The fourth proportional to 845.38, 1,268.17 and 325.26 is: 487.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.38 : 1,268.17 = 325.26 : x
  2. Step 2: Convert to fraction form
    845.38/1,268.17 = 325.26/x
  3. Step 3: Cross multiply
    845.38x = 1,268.17 × 325.26
  4. Step 4: Simplify right side
    845.38x = 412,484.97
  5. Step 5: Solve for x
    x = 412,484.97/845.38
  6. Step 6: Final answer
    x = 487.93

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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.