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Finding the Fourth Proportional to 983.69, 1,356.23 and 806

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Solution

The fourth proportional to 983.69, 1,356.23 and 806 is: 1,111.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.69 : 1,356.23 = 806 : x
  2. Step 2: Convert to fraction form
    983.69/1,356.23 = 806/x
  3. Step 3: Cross multiply
    983.69x = 1,356.23 × 806
  4. Step 4: Simplify right side
    983.69x = 1,093,121.38
  5. Step 5: Solve for x
    x = 1,093,121.38/983.69
  6. Step 6: Final answer
    x = 1,111.25

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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.