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Finding the Fourth Proportional to 823.81, 1,236.20 and 304.17

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Solution

The fourth proportional to 823.81, 1,236.20 and 304.17 is: 456.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.81 : 1,236.20 = 304.17 : x
  2. Step 2: Convert to fraction form
    823.81/1,236.20 = 304.17/x
  3. Step 3: Cross multiply
    823.81x = 1,236.20 × 304.17
  4. Step 4: Simplify right side
    823.81x = 376,016.12
  5. Step 5: Solve for x
    x = 376,016.12/823.81
  6. Step 6: Final answer
    x = 456.44

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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.