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Finding the Fourth Proportional to 823.09, 1,234.70 and 275.27

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Solution

The fourth proportional to 823.09, 1,234.70 and 275.27 is: 412.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.09 : 1,234.70 = 275.27 : x
  2. Step 2: Convert to fraction form
    823.09/1,234.70 = 275.27/x
  3. Step 3: Cross multiply
    823.09x = 1,234.70 × 275.27
  4. Step 4: Simplify right side
    823.09x = 339,874.49
  5. Step 5: Solve for x
    x = 339,874.49/823.09
  6. Step 6: Final answer
    x = 412.93

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1.5x scale

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.