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Finding the Fourth Proportional to 927.96, 1,272.16 and 911.56

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Solution

The fourth proportional to 927.96, 1,272.16 and 911.56 is: 1,249.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.96 : 1,272.16 = 911.56 : x
  2. Step 2: Convert to fraction form
    927.96/1,272.16 = 911.56/x
  3. Step 3: Cross multiply
    927.96x = 1,272.16 × 911.56
  4. Step 4: Simplify right side
    927.96x = 1,159,650.17
  5. Step 5: Solve for x
    x = 1,159,650.17/927.96
  6. Step 6: Final answer
    x = 1,249.68

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1.5x scale

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.