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Finding the Fourth Proportional to 774.14, 1,067.90 and 478.89

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Solution

The fourth proportional to 774.14, 1,067.90 and 478.89 is: 660.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.14 : 1,067.90 = 478.89 : x
  2. Step 2: Convert to fraction form
    774.14/1,067.90 = 478.89/x
  3. Step 3: Cross multiply
    774.14x = 1,067.90 × 478.89
  4. Step 4: Simplify right side
    774.14x = 511,404.24
  5. Step 5: Solve for x
    x = 511,404.24/774.14
  6. Step 6: Final answer
    x = 660.61

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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.