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Finding the Fourth Proportional to 712.85, 1,067.45 and 631.45

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Solution

The fourth proportional to 712.85, 1,067.45 and 631.45 is: 945.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.85 : 1,067.45 = 631.45 : x
  2. Step 2: Convert to fraction form
    712.85/1,067.45 = 631.45/x
  3. Step 3: Cross multiply
    712.85x = 1,067.45 × 631.45
  4. Step 4: Simplify right side
    712.85x = 674,035.97
  5. Step 5: Solve for x
    x = 674,035.97/712.85
  6. Step 6: Final answer
    x = 945.55

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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.