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Finding the Fourth Proportional to 1,262.54, 1,893.78 and 338.09

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Solution

The fourth proportional to 1,262.54, 1,893.78 and 338.09 is: 507.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.54 : 1,893.78 = 338.09 : x
  2. Step 2: Convert to fraction form
    1,262.54/1,893.78 = 338.09/x
  3. Step 3: Cross multiply
    1,262.54x = 1,893.78 × 338.09
  4. Step 4: Simplify right side
    1,262.54x = 640,273.01
  5. Step 5: Solve for x
    x = 640,273.01/1,262.54
  6. Step 6: Final answer
    x = 507.13

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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.