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Finding the Fourth Proportional to 820.56, 1,230.72 and 273.12

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Solution

The fourth proportional to 820.56, 1,230.72 and 273.12 is: 409.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.56 : 1,230.72 = 273.12 : x
  2. Step 2: Convert to fraction form
    820.56/1,230.72 = 273.12/x
  3. Step 3: Cross multiply
    820.56x = 1,230.72 × 273.12
  4. Step 4: Simplify right side
    820.56x = 336,134.25
  5. Step 5: Solve for x
    x = 336,134.25/820.56
  6. Step 6: Final answer
    x = 409.64

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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.