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Finding the Fourth Proportional to 983.76, 1,356.32 and 806.06

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Solution

The fourth proportional to 983.76, 1,356.32 and 806.06 is: 1,111.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.76 : 1,356.32 = 806.06 : x
  2. Step 2: Convert to fraction form
    983.76/1,356.32 = 806.06/x
  3. Step 3: Cross multiply
    983.76x = 1,356.32 × 806.06
  4. Step 4: Simplify right side
    983.76x = 1,093,275.30
  5. Step 5: Solve for x
    x = 1,093,275.30/983.76
  6. Step 6: Final answer
    x = 1,111.32

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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.