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Finding the Fourth Proportional to 1,446.25, 1,995.83 and 783.11

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Solution

The fourth proportional to 1,446.25, 1,995.83 and 783.11 is: 1,080.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.25 : 1,995.83 = 783.11 : x
  2. Step 2: Convert to fraction form
    1,446.25/1,995.83 = 783.11/x
  3. Step 3: Cross multiply
    1,446.25x = 1,995.83 × 783.11
  4. Step 4: Simplify right side
    1,446.25x = 1,562,947.02
  5. Step 5: Solve for x
    x = 1,562,947.02/1,446.25
  6. Step 6: Final answer
    x = 1,080.69

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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.