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Finding the Fourth Proportional to 800.97, 1,104.43 and 580.03

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Solution

The fourth proportional to 800.97, 1,104.43 and 580.03 is: 799.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.97 : 1,104.43 = 580.03 : x
  2. Step 2: Convert to fraction form
    800.97/1,104.43 = 580.03/x
  3. Step 3: Cross multiply
    800.97x = 1,104.43 × 580.03
  4. Step 4: Simplify right side
    800.97x = 640,602.53
  5. Step 5: Solve for x
    x = 640,602.53/800.97
  6. Step 6: Final answer
    x = 799.78

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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.