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Finding the Fourth Proportional to 825.32, 1,242.63 and 728.44

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Solution

The fourth proportional to 825.32, 1,242.63 and 728.44 is: 1,096.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.32 : 1,242.63 = 728.44 : x
  2. Step 2: Convert to fraction form
    825.32/1,242.63 = 728.44/x
  3. Step 3: Cross multiply
    825.32x = 1,242.63 × 728.44
  4. Step 4: Simplify right side
    825.32x = 905,181.40
  5. Step 5: Solve for x
    x = 905,181.40/825.32
  6. Step 6: Final answer
    x = 1,096.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.