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Finding the Fourth Proportional to 820.44, 1,232.34 and 674.64

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Solution

The fourth proportional to 820.44, 1,232.34 and 674.64 is: 1,013.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.44 : 1,232.34 = 674.64 : x
  2. Step 2: Convert to fraction form
    820.44/1,232.34 = 674.64/x
  3. Step 3: Cross multiply
    820.44x = 1,232.34 × 674.64
  4. Step 4: Simplify right side
    820.44x = 831,385.86
  5. Step 5: Solve for x
    x = 831,385.86/820.44
  6. Step 6: Final answer
    x = 1,013.34

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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.