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Finding the Fourth Proportional to 944.01, 1,409.04 and 806.04

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Solution

The fourth proportional to 944.01, 1,409.04 and 806.04 is: 1,203.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.01 : 1,409.04 = 806.04 : x
  2. Step 2: Convert to fraction form
    944.01/1,409.04 = 806.04/x
  3. Step 3: Cross multiply
    944.01x = 1,409.04 × 806.04
  4. Step 4: Simplify right side
    944.01x = 1,135,742.60
  5. Step 5: Solve for x
    x = 1,135,742.60/944.01
  6. Step 6: Final answer
    x = 1,203.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.