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Finding the Fourth Proportional to 1,448.11, 2,171.97 and 625.70

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Solution

The fourth proportional to 1,448.11, 2,171.97 and 625.70 is: 938.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.11 : 2,171.97 = 625.70 : x
  2. Step 2: Convert to fraction form
    1,448.11/2,171.97 = 625.70/x
  3. Step 3: Cross multiply
    1,448.11x = 2,171.97 × 625.70
  4. Step 4: Simplify right side
    1,448.11x = 1,359,001.63
  5. Step 5: Solve for x
    x = 1,359,001.63/1,448.11
  6. Step 6: Final answer
    x = 938.47

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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.