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Finding the Fourth Proportional to 993.58, 1,369.99 and 806.50

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Solution

The fourth proportional to 993.58, 1,369.99 and 806.50 is: 1,112.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.58 : 1,369.99 = 806.50 : x
  2. Step 2: Convert to fraction form
    993.58/1,369.99 = 806.50/x
  3. Step 3: Cross multiply
    993.58x = 1,369.99 × 806.50
  4. Step 4: Simplify right side
    993.58x = 1,104,896.94
  5. Step 5: Solve for x
    x = 1,104,896.94/993.58
  6. Step 6: Final answer
    x = 1,112.04

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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.