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Finding the Fourth Proportional to 944.75, 1,304.10 and 811.43

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Solution

The fourth proportional to 944.75, 1,304.10 and 811.43 is: 1,120.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.75 : 1,304.10 = 811.43 : x
  2. Step 2: Convert to fraction form
    944.75/1,304.10 = 811.43/x
  3. Step 3: Cross multiply
    944.75x = 1,304.10 × 811.43
  4. Step 4: Simplify right side
    944.75x = 1,058,189.12
  5. Step 5: Solve for x
    x = 1,058,189.12/944.75
  6. Step 6: Final answer
    x = 1,120.08

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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.