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Finding the Fourth Proportional to 823.38, 1,135.09 and 681.68

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Solution

The fourth proportional to 823.38, 1,135.09 and 681.68 is: 939.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.38 : 1,135.09 = 681.68 : x
  2. Step 2: Convert to fraction form
    823.38/1,135.09 = 681.68/x
  3. Step 3: Cross multiply
    823.38x = 1,135.09 × 681.68
  4. Step 4: Simplify right side
    823.38x = 773,759.07
  5. Step 5: Solve for x
    x = 773,759.07/823.38
  6. Step 6: Final answer
    x = 939.74

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Double scale
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1.5x scale

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.