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Finding the Fourth Proportional to 1,403.87, 1,937.46 and 806.44

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Solution

The fourth proportional to 1,403.87, 1,937.46 and 806.44 is: 1,112.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.87 : 1,937.46 = 806.44 : x
  2. Step 2: Convert to fraction form
    1,403.87/1,937.46 = 806.44/x
  3. Step 3: Cross multiply
    1,403.87x = 1,937.46 × 806.44
  4. Step 4: Simplify right side
    1,403.87x = 1,562,450.69
  5. Step 5: Solve for x
    x = 1,562,450.69/1,403.87
  6. Step 6: Final answer
    x = 1,112.96

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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.