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Finding the Fourth Proportional to 712.35, 1,067.88 and 279.39

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Solution

The fourth proportional to 712.35, 1,067.88 and 279.39 is: 418.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.35 : 1,067.88 = 279.39 : x
  2. Step 2: Convert to fraction form
    712.35/1,067.88 = 279.39/x
  3. Step 3: Cross multiply
    712.35x = 1,067.88 × 279.39
  4. Step 4: Simplify right side
    712.35x = 298,354.99
  5. Step 5: Solve for x
    x = 298,354.99/712.35
  6. Step 6: Final answer
    x = 418.83

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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.