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Finding the Fourth Proportional to 996.42, 1,485.85 and 927.16

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Solution

The fourth proportional to 996.42, 1,485.85 and 927.16 is: 1,382.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.42 : 1,485.85 = 927.16 : x
  2. Step 2: Convert to fraction form
    996.42/1,485.85 = 927.16/x
  3. Step 3: Cross multiply
    996.42x = 1,485.85 × 927.16
  4. Step 4: Simplify right side
    996.42x = 1,377,620.69
  5. Step 5: Solve for x
    x = 1,377,620.69/996.42
  6. Step 6: Final answer
    x = 1,382.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.