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Finding the Fourth Proportional to 1,443.68, 1,991.80 and 814.13

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Solution

The fourth proportional to 1,443.68, 1,991.80 and 814.13 is: 1,123.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.68 : 1,991.80 = 814.13 : x
  2. Step 2: Convert to fraction form
    1,443.68/1,991.80 = 814.13/x
  3. Step 3: Cross multiply
    1,443.68x = 1,991.80 × 814.13
  4. Step 4: Simplify right side
    1,443.68x = 1,621,584.13
  5. Step 5: Solve for x
    x = 1,621,584.13/1,443.68
  6. Step 6: Final answer
    x = 1,123.23

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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.