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Finding the Fourth Proportional to 820.71, 1,230.99 and 272.96

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Solution

The fourth proportional to 820.71, 1,230.99 and 272.96 is: 409.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.71 : 1,230.99 = 272.96 : x
  2. Step 2: Convert to fraction form
    820.71/1,230.99 = 272.96/x
  3. Step 3: Cross multiply
    820.71x = 1,230.99 × 272.96
  4. Step 4: Simplify right side
    820.71x = 336,004.88
  5. Step 5: Solve for x
    x = 336,004.88/820.71
  6. Step 6: Final answer
    x = 409.41

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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.