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Finding the Fourth Proportional to 1,448, 2,170.52 and 626.80

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Solution

The fourth proportional to 1,448, 2,170.52 and 626.80 is: 939.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448 : 2,170.52 = 626.80 : x
  2. Step 2: Convert to fraction form
    1,448/2,170.52 = 626.80/x
  3. Step 3: Cross multiply
    1,448x = 2,170.52 × 626.80
  4. Step 4: Simplify right side
    1,448x = 1,360,481.94
  5. Step 5: Solve for x
    x = 1,360,481.94/1,448
  6. Step 6: Final answer
    x = 939.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.