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Finding the Fourth Proportional to 927.02, 1,396.01 and 806.73

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Solution

The fourth proportional to 927.02, 1,396.01 and 806.73 is: 1,214.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.02 : 1,396.01 = 806.73 : x
  2. Step 2: Convert to fraction form
    927.02/1,396.01 = 806.73/x
  3. Step 3: Cross multiply
    927.02x = 1,396.01 × 806.73
  4. Step 4: Simplify right side
    927.02x = 1,126,199.11
  5. Step 5: Solve for x
    x = 1,126,199.11/927.02
  6. Step 6: Final answer
    x = 1,214.86

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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.