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Finding the Fourth Proportional to 1,390.33, 1,908.44 and 1,229.44

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Solution

The fourth proportional to 1,390.33, 1,908.44 and 1,229.44 is: 1,687.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.33 : 1,908.44 = 1,229.44 : x
  2. Step 2: Convert to fraction form
    1,390.33/1,908.44 = 1,229.44/x
  3. Step 3: Cross multiply
    1,390.33x = 1,908.44 × 1,229.44
  4. Step 4: Simplify right side
    1,390.33x = 2,346,312.47
  5. Step 5: Solve for x
    x = 2,346,312.47/1,390.33
  6. Step 6: Final answer
    x = 1,687.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.