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Finding the Fourth Proportional to 712.72, 1,069.14 and 225.67

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Solution

The fourth proportional to 712.72, 1,069.14 and 225.67 is: 338.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.72 : 1,069.14 = 225.67 : x
  2. Step 2: Convert to fraction form
    712.72/1,069.14 = 225.67/x
  3. Step 3: Cross multiply
    712.72x = 1,069.14 × 225.67
  4. Step 4: Simplify right side
    712.72x = 241,272.82
  5. Step 5: Solve for x
    x = 241,272.82/712.72
  6. Step 6: Final answer
    x = 338.52

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Similar ratio
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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.