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Finding the Fourth Proportional to 773.12, 1,067.28 and 478.54

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Solution

The fourth proportional to 773.12, 1,067.28 and 478.54 is: 660.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.12 : 1,067.28 = 478.54 : x
  2. Step 2: Convert to fraction form
    773.12/1,067.28 = 478.54/x
  3. Step 3: Cross multiply
    773.12x = 1,067.28 × 478.54
  4. Step 4: Simplify right side
    773.12x = 510,736.17
  5. Step 5: Solve for x
    x = 510,736.17/773.12
  6. Step 6: Final answer
    x = 660.62

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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.