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Finding the Fourth Proportional to 1,436.19, 1,981.83 and 806.75

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Solution

The fourth proportional to 1,436.19, 1,981.83 and 806.75 is: 1,113.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.19 : 1,981.83 = 806.75 : x
  2. Step 2: Convert to fraction form
    1,436.19/1,981.83 = 806.75/x
  3. Step 3: Cross multiply
    1,436.19x = 1,981.83 × 806.75
  4. Step 4: Simplify right side
    1,436.19x = 1,598,841.35
  5. Step 5: Solve for x
    x = 1,598,841.35/1,436.19
  6. Step 6: Final answer
    x = 1,113.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.