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Finding the Fourth Proportional to 773.78, 1,067.78 and 478.94

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Solution

The fourth proportional to 773.78, 1,067.78 and 478.94 is: 660.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.78 : 1,067.78 = 478.94 : x
  2. Step 2: Convert to fraction form
    773.78/1,067.78 = 478.94/x
  3. Step 3: Cross multiply
    773.78x = 1,067.78 × 478.94
  4. Step 4: Simplify right side
    773.78x = 511,402.55
  5. Step 5: Solve for x
    x = 511,402.55/773.78
  6. Step 6: Final answer
    x = 660.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.