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Finding the Fourth Proportional to 823.82, 1,136.78 and 492.20

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Solution

The fourth proportional to 823.82, 1,136.78 and 492.20 is: 679.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.82 : 1,136.78 = 492.20 : x
  2. Step 2: Convert to fraction form
    823.82/1,136.78 = 492.20/x
  3. Step 3: Cross multiply
    823.82x = 1,136.78 × 492.20
  4. Step 4: Simplify right side
    823.82x = 559,514.97
  5. Step 5: Solve for x
    x = 559,514.97/823.82
  6. Step 6: Final answer
    x = 679.18

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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.