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Finding the Fourth Proportional to 712.33, 1,067.46 and 316.53

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Solution

The fourth proportional to 712.33, 1,067.46 and 316.53 is: 474.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.33 : 1,067.46 = 316.53 : x
  2. Step 2: Convert to fraction form
    712.33/1,067.46 = 316.53/x
  3. Step 3: Cross multiply
    712.33x = 1,067.46 × 316.53
  4. Step 4: Simplify right side
    712.33x = 337,883.11
  5. Step 5: Solve for x
    x = 337,883.11/712.33
  6. Step 6: Final answer
    x = 474.34

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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.