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Finding the Fourth Proportional to 823.29, 1,136.55 and 636.35

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Solution

The fourth proportional to 823.29, 1,136.55 and 636.35 is: 878.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.29 : 1,136.55 = 636.35 : x
  2. Step 2: Convert to fraction form
    823.29/1,136.55 = 636.35/x
  3. Step 3: Cross multiply
    823.29x = 1,136.55 × 636.35
  4. Step 4: Simplify right side
    823.29x = 723,247.06
  5. Step 5: Solve for x
    x = 723,247.06/823.29
  6. Step 6: Final answer
    x = 878.49

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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.