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Finding the Fourth Proportional to 712.34, 1,067.89 and 279.80

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Solution

The fourth proportional to 712.34, 1,067.89 and 279.80 is: 419.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.34 : 1,067.89 = 279.80 : x
  2. Step 2: Convert to fraction form
    712.34/1,067.89 = 279.80/x
  3. Step 3: Cross multiply
    712.34x = 1,067.89 × 279.80
  4. Step 4: Simplify right side
    712.34x = 298,795.62
  5. Step 5: Solve for x
    x = 298,795.62/712.34
  6. Step 6: Final answer
    x = 419.46

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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.