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Finding the Fourth Proportional to 823.26, 1,234.59 and 275.30

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Solution

The fourth proportional to 823.26, 1,234.59 and 275.30 is: 412.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.26 : 1,234.59 = 275.30 : x
  2. Step 2: Convert to fraction form
    823.26/1,234.59 = 275.30/x
  3. Step 3: Cross multiply
    823.26x = 1,234.59 × 275.30
  4. Step 4: Simplify right side
    823.26x = 339,882.63
  5. Step 5: Solve for x
    x = 339,882.63/823.26
  6. Step 6: Final answer
    x = 412.85

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Double scale
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Similar ratio
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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.