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Finding the Fourth Proportional to 820.12, 1,227.30 and 636.34

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Solution

The fourth proportional to 820.12, 1,227.30 and 636.34 is: 952.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.12 : 1,227.30 = 636.34 : x
  2. Step 2: Convert to fraction form
    820.12/1,227.30 = 636.34/x
  3. Step 3: Cross multiply
    820.12x = 1,227.30 × 636.34
  4. Step 4: Simplify right side
    820.12x = 780,980.08
  5. Step 5: Solve for x
    x = 780,980.08/820.12
  6. Step 6: Final answer
    x = 952.28

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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.