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Finding the Fourth Proportional to 712.73, 1,069.11 and 199.73

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Solution

The fourth proportional to 712.73, 1,069.11 and 199.73 is: 299.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.73 : 1,069.11 = 199.73 : x
  2. Step 2: Convert to fraction form
    712.73/1,069.11 = 199.73/x
  3. Step 3: Cross multiply
    712.73x = 1,069.11 × 199.73
  4. Step 4: Simplify right side
    712.73x = 213,533.34
  5. Step 5: Solve for x
    x = 213,533.34/712.73
  6. Step 6: Final answer
    x = 299.60

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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.