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Finding the Fourth Proportional to 822.99, 1,233.99 and 329.48

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Solution

The fourth proportional to 822.99, 1,233.99 and 329.48 is: 494.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.99 : 1,233.99 = 329.48 : x
  2. Step 2: Convert to fraction form
    822.99/1,233.99 = 329.48/x
  3. Step 3: Cross multiply
    822.99x = 1,233.99 × 329.48
  4. Step 4: Simplify right side
    822.99x = 406,568.86
  5. Step 5: Solve for x
    x = 406,568.86/822.99
  6. Step 6: Final answer
    x = 494.01

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.