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Finding the Fourth Proportional to 1,289.97, 1,781.34 and 825.03

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Solution

The fourth proportional to 1,289.97, 1,781.34 and 825.03 is: 1,139.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.97 : 1,781.34 = 825.03 : x
  2. Step 2: Convert to fraction form
    1,289.97/1,781.34 = 825.03/x
  3. Step 3: Cross multiply
    1,289.97x = 1,781.34 × 825.03
  4. Step 4: Simplify right side
    1,289.97x = 1,469,658.94
  5. Step 5: Solve for x
    x = 1,469,658.94/1,289.97
  6. Step 6: Final answer
    x = 1,139.30

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1.5x scale

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.