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Finding the Fourth Proportional to 928.28, 1,272.46 and 911.72

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Solution

The fourth proportional to 928.28, 1,272.46 and 911.72 is: 1,249.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.28 : 1,272.46 = 911.72 : x
  2. Step 2: Convert to fraction form
    928.28/1,272.46 = 911.72/x
  3. Step 3: Cross multiply
    928.28x = 1,272.46 × 911.72
  4. Step 4: Simplify right side
    928.28x = 1,160,127.23
  5. Step 5: Solve for x
    x = 1,160,127.23/928.28
  6. Step 6: Final answer
    x = 1,249.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.