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Finding the Fourth Proportional to 823.37, 1,234.85 and 275.81

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Solution

The fourth proportional to 823.37, 1,234.85 and 275.81 is: 413.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.37 : 1,234.85 = 275.81 : x
  2. Step 2: Convert to fraction form
    823.37/1,234.85 = 275.81/x
  3. Step 3: Cross multiply
    823.37x = 1,234.85 × 275.81
  4. Step 4: Simplify right side
    823.37x = 340,576.43
  5. Step 5: Solve for x
    x = 340,576.43/823.37
  6. Step 6: Final answer
    x = 413.64

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Double scale
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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.