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Finding the Fourth Proportional to 1,262.78, 1,894.41 and 385.22

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Solution

The fourth proportional to 1,262.78, 1,894.41 and 385.22 is: 577.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.78 : 1,894.41 = 385.22 : x
  2. Step 2: Convert to fraction form
    1,262.78/1,894.41 = 385.22/x
  3. Step 3: Cross multiply
    1,262.78x = 1,894.41 × 385.22
  4. Step 4: Simplify right side
    1,262.78x = 729,764.62
  5. Step 5: Solve for x
    x = 729,764.62/1,262.78
  6. Step 6: Final answer
    x = 577.90

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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.