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Finding the Fourth Proportional to 944.82, 1,305.36 and 806.40

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Solution

The fourth proportional to 944.82, 1,305.36 and 806.40 is: 1,114.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.82 : 1,305.36 = 806.40 : x
  2. Step 2: Convert to fraction form
    944.82/1,305.36 = 806.40/x
  3. Step 3: Cross multiply
    944.82x = 1,305.36 × 806.40
  4. Step 4: Simplify right side
    944.82x = 1,052,642.30
  5. Step 5: Solve for x
    x = 1,052,642.30/944.82
  6. Step 6: Final answer
    x = 1,114.12

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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.