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Finding the Fourth Proportional to 823.30, 1,234.50 and 275.20

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Solution

The fourth proportional to 823.30, 1,234.50 and 275.20 is: 412.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.30 : 1,234.50 = 275.20 : x
  2. Step 2: Convert to fraction form
    823.30/1,234.50 = 275.20/x
  3. Step 3: Cross multiply
    823.30x = 1,234.50 × 275.20
  4. Step 4: Simplify right side
    823.30x = 339,734.40
  5. Step 5: Solve for x
    x = 339,734.40/823.30
  6. Step 6: Final answer
    x = 412.65

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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.