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Finding the Fourth Proportional to 823.12, 1,234.90 and 360.94

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Solution

The fourth proportional to 823.12, 1,234.90 and 360.94 is: 541.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.12 : 1,234.90 = 360.94 : x
  2. Step 2: Convert to fraction form
    823.12/1,234.90 = 360.94/x
  3. Step 3: Cross multiply
    823.12x = 1,234.90 × 360.94
  4. Step 4: Simplify right side
    823.12x = 445,724.81
  5. Step 5: Solve for x
    x = 445,724.81/823.12
  6. Step 6: Final answer
    x = 541.51

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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.