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Finding the Fourth Proportional to 844.59, 1,166.55 and 635.70

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Solution

The fourth proportional to 844.59, 1,166.55 and 635.70 is: 878.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.59 : 1,166.55 = 635.70 : x
  2. Step 2: Convert to fraction form
    844.59/1,166.55 = 635.70/x
  3. Step 3: Cross multiply
    844.59x = 1,166.55 × 635.70
  4. Step 4: Simplify right side
    844.59x = 741,575.84
  5. Step 5: Solve for x
    x = 741,575.84/844.59
  6. Step 6: Final answer
    x = 878.03

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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.