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Finding the Fourth Proportional to 844.97, 1,166.57 and 579.85

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Solution

The fourth proportional to 844.97, 1,166.57 and 579.85 is: 800.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.97 : 1,166.57 = 579.85 : x
  2. Step 2: Convert to fraction form
    844.97/1,166.57 = 579.85/x
  3. Step 3: Cross multiply
    844.97x = 1,166.57 × 579.85
  4. Step 4: Simplify right side
    844.97x = 676,431.96
  5. Step 5: Solve for x
    x = 676,431.96/844.97
  6. Step 6: Final answer
    x = 800.54

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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.