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Finding the Fourth Proportional to 823.23, 1,136.43 and 632.61

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Solution

The fourth proportional to 823.23, 1,136.43 and 632.61 is: 873.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.23 : 1,136.43 = 632.61 : x
  2. Step 2: Convert to fraction form
    823.23/1,136.43 = 632.61/x
  3. Step 3: Cross multiply
    823.23x = 1,136.43 × 632.61
  4. Step 4: Simplify right side
    823.23x = 718,916.98
  5. Step 5: Solve for x
    x = 718,916.98/823.23
  6. Step 6: Final answer
    x = 873.29

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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.