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Finding the Fourth Proportional to 983.70, 1,356.23 and 806.00

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Solution

The fourth proportional to 983.70, 1,356.23 and 806.00 is: 1,111.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.70 : 1,356.23 = 806.00 : x
  2. Step 2: Convert to fraction form
    983.70/1,356.23 = 806.00/x
  3. Step 3: Cross multiply
    983.70x = 1,356.23 × 806.00
  4. Step 4: Simplify right side
    983.70x = 1,093,110.57
  5. Step 5: Solve for x
    x = 1,093,110.57/983.70
  6. Step 6: Final answer
    x = 1,111.22

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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.