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Finding the Fourth Proportional to 712.49, 1,067.31 and 346.16

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Solution

The fourth proportional to 712.49, 1,067.31 and 346.16 is: 518.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.49 : 1,067.31 = 346.16 : x
  2. Step 2: Convert to fraction form
    712.49/1,067.31 = 346.16/x
  3. Step 3: Cross multiply
    712.49x = 1,067.31 × 346.16
  4. Step 4: Simplify right side
    712.49x = 369,462.70
  5. Step 5: Solve for x
    x = 369,462.70/712.49
  6. Step 6: Final answer
    x = 518.56

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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.