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Finding the Fourth Proportional to 971.28, 1,462.72 and 850.96

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Solution

The fourth proportional to 971.28, 1,462.72 and 850.96 is: 1,281.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.28 : 1,462.72 = 850.96 : x
  2. Step 2: Convert to fraction form
    971.28/1,462.72 = 850.96/x
  3. Step 3: Cross multiply
    971.28x = 1,462.72 × 850.96
  4. Step 4: Simplify right side
    971.28x = 1,244,716.21
  5. Step 5: Solve for x
    x = 1,244,716.21/971.28
  6. Step 6: Final answer
    x = 1,281.52

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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.