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Finding the Fourth Proportional to 712.47, 1,067.28 and 468.25

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Solution

The fourth proportional to 712.47, 1,067.28 and 468.25 is: 701.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.47 : 1,067.28 = 468.25 : x
  2. Step 2: Convert to fraction form
    712.47/1,067.28 = 468.25/x
  3. Step 3: Cross multiply
    712.47x = 1,067.28 × 468.25
  4. Step 4: Simplify right side
    712.47x = 499,753.86
  5. Step 5: Solve for x
    x = 499,753.86/712.47
  6. Step 6: Final answer
    x = 701.44

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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.