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Finding the Fourth Proportional to 1,028.72, 1,418.10 and 806.96

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Solution

The fourth proportional to 1,028.72, 1,418.10 and 806.96 is: 1,112.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.72 : 1,418.10 = 806.96 : x
  2. Step 2: Convert to fraction form
    1,028.72/1,418.10 = 806.96/x
  3. Step 3: Cross multiply
    1,028.72x = 1,418.10 × 806.96
  4. Step 4: Simplify right side
    1,028.72x = 1,144,349.98
  5. Step 5: Solve for x
    x = 1,144,349.98/1,028.72
  6. Step 6: Final answer
    x = 1,112.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.