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Finding the Fourth Proportional to 823.14, 1,234.71 and 336.19

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Solution

The fourth proportional to 823.14, 1,234.71 and 336.19 is: 504.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.14 : 1,234.71 = 336.19 : x
  2. Step 2: Convert to fraction form
    823.14/1,234.71 = 336.19/x
  3. Step 3: Cross multiply
    823.14x = 1,234.71 × 336.19
  4. Step 4: Simplify right side
    823.14x = 415,094.57
  5. Step 5: Solve for x
    x = 415,094.57/823.14
  6. Step 6: Final answer
    x = 504.28

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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.