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Finding the Fourth Proportional to 872.36, 1,308.50 and 682.28

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Solution

The fourth proportional to 872.36, 1,308.50 and 682.28 is: 1,023.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.36 : 1,308.50 = 682.28 : x
  2. Step 2: Convert to fraction form
    872.36/1,308.50 = 682.28/x
  3. Step 3: Cross multiply
    872.36x = 1,308.50 × 682.28
  4. Step 4: Simplify right side
    872.36x = 892,763.38
  5. Step 5: Solve for x
    x = 892,763.38/872.36
  6. Step 6: Final answer
    x = 1,023.39

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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.