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Finding the Fourth Proportional to 823.35, 1,136.75 and 636.51

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Solution

The fourth proportional to 823.35, 1,136.75 and 636.51 is: 878.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.35 : 1,136.75 = 636.51 : x
  2. Step 2: Convert to fraction form
    823.35/1,136.75 = 636.51/x
  3. Step 3: Cross multiply
    823.35x = 1,136.75 × 636.51
  4. Step 4: Simplify right side
    823.35x = 723,549.56
  5. Step 5: Solve for x
    x = 723,549.56/823.35
  6. Step 6: Final answer
    x = 878.79

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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.