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Finding the Fourth Proportional to 823.92, 1,136.97 and 474.54

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Solution

The fourth proportional to 823.92, 1,136.97 and 474.54 is: 654.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.92 : 1,136.97 = 474.54 : x
  2. Step 2: Convert to fraction form
    823.92/1,136.97 = 474.54/x
  3. Step 3: Cross multiply
    823.92x = 1,136.97 × 474.54
  4. Step 4: Simplify right side
    823.92x = 539,537.74
  5. Step 5: Solve for x
    x = 539,537.74/823.92
  6. Step 6: Final answer
    x = 654.84

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Double scale
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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.