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Finding the Fourth Proportional to 712.49, 1,069.42 and 439.11

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Solution

The fourth proportional to 712.49, 1,069.42 and 439.11 is: 659.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.49 : 1,069.42 = 439.11 : x
  2. Step 2: Convert to fraction form
    712.49/1,069.42 = 439.11/x
  3. Step 3: Cross multiply
    712.49x = 1,069.42 × 439.11
  4. Step 4: Simplify right side
    712.49x = 469,593.02
  5. Step 5: Solve for x
    x = 469,593.02/712.49
  6. Step 6: Final answer
    x = 659.09

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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.