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Finding the Fourth Proportional to 774.73, 1,069.20 and 443.29

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Solution

The fourth proportional to 774.73, 1,069.20 and 443.29 is: 611.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.73 : 1,069.20 = 443.29 : x
  2. Step 2: Convert to fraction form
    774.73/1,069.20 = 443.29/x
  3. Step 3: Cross multiply
    774.73x = 1,069.20 × 443.29
  4. Step 4: Simplify right side
    774.73x = 473,965.00
  5. Step 5: Solve for x
    x = 473,965.00/774.73
  6. Step 6: Final answer
    x = 611.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.