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Finding the Fourth Proportional to 712.15, 1,067.60 and 383.27

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Solution

The fourth proportional to 712.15, 1,067.60 and 383.27 is: 574.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.15 : 1,067.60 = 383.27 : x
  2. Step 2: Convert to fraction form
    712.15/1,067.60 = 383.27/x
  3. Step 3: Cross multiply
    712.15x = 1,067.60 × 383.27
  4. Step 4: Simplify right side
    712.15x = 409,177.02
  5. Step 5: Solve for x
    x = 409,177.02/712.15
  6. Step 6: Final answer
    x = 574.56

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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.