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Finding the Fourth Proportional to 944.91, 1,305.23 and 911.16

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Solution

The fourth proportional to 944.91, 1,305.23 and 911.16 is: 1,258.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.91 : 1,305.23 = 911.16 : x
  2. Step 2: Convert to fraction form
    944.91/1,305.23 = 911.16/x
  3. Step 3: Cross multiply
    944.91x = 1,305.23 × 911.16
  4. Step 4: Simplify right side
    944.91x = 1,189,268.81
  5. Step 5: Solve for x
    x = 1,189,268.81/944.91
  6. Step 6: Final answer
    x = 1,258.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.