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Finding the Fourth Proportional to 853.62, 1,183.43 and 823.59

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Solution

The fourth proportional to 853.62, 1,183.43 and 823.59 is: 1,141.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.62 : 1,183.43 = 823.59 : x
  2. Step 2: Convert to fraction form
    853.62/1,183.43 = 823.59/x
  3. Step 3: Cross multiply
    853.62x = 1,183.43 × 823.59
  4. Step 4: Simplify right side
    853.62x = 974,657.00
  5. Step 5: Solve for x
    x = 974,657.00/853.62
  6. Step 6: Final answer
    x = 1,141.79

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.