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Finding the Fourth Proportional to 712.19, 1,067.78 and 346.75

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Solution

The fourth proportional to 712.19, 1,067.78 and 346.75 is: 519.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.19 : 1,067.78 = 346.75 : x
  2. Step 2: Convert to fraction form
    712.19/1,067.78 = 346.75/x
  3. Step 3: Cross multiply
    712.19x = 1,067.78 × 346.75
  4. Step 4: Simplify right side
    712.19x = 370,250.91
  5. Step 5: Solve for x
    x = 370,250.91/712.19
  6. Step 6: Final answer
    x = 519.87

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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.