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Finding the Fourth Proportional to 1,469.99, 2,023.49 and 1,270.73

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Solution

The fourth proportional to 1,469.99, 2,023.49 and 1,270.73 is: 1,749.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.99 : 2,023.49 = 1,270.73 : x
  2. Step 2: Convert to fraction form
    1,469.99/2,023.49 = 1,270.73/x
  3. Step 3: Cross multiply
    1,469.99x = 2,023.49 × 1,270.73
  4. Step 4: Simplify right side
    1,469.99x = 2,571,292.98
  5. Step 5: Solve for x
    x = 2,571,292.98/1,469.99
  6. Step 6: Final answer
    x = 1,749.20

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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.