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Finding the Fourth Proportional to 1,448, 2,172.40 and 422

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Solution

The fourth proportional to 1,448, 2,172.40 and 422 is: 633.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448 : 2,172.40 = 422 : x
  2. Step 2: Convert to fraction form
    1,448/2,172.40 = 422/x
  3. Step 3: Cross multiply
    1,448x = 2,172.40 × 422
  4. Step 4: Simplify right side
    1,448x = 916,752.80
  5. Step 5: Solve for x
    x = 916,752.80/1,448
  6. Step 6: Final answer
    x = 633.12

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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.