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Finding the Fourth Proportional to 979.73, 1,469.11 and 568.97

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Solution

The fourth proportional to 979.73, 1,469.11 and 568.97 is: 853.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.73 : 1,469.11 = 568.97 : x
  2. Step 2: Convert to fraction form
    979.73/1,469.11 = 568.97/x
  3. Step 3: Cross multiply
    979.73x = 1,469.11 × 568.97
  4. Step 4: Simplify right side
    979.73x = 835,872.17
  5. Step 5: Solve for x
    x = 835,872.17/979.73
  6. Step 6: Final answer
    x = 853.17

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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.