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Finding the Fourth Proportional to 1,443.12, 1,991.68 and 946.20

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Solution

The fourth proportional to 1,443.12, 1,991.68 and 946.20 is: 1,305.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.12 : 1,991.68 = 946.20 : x
  2. Step 2: Convert to fraction form
    1,443.12/1,991.68 = 946.20/x
  3. Step 3: Cross multiply
    1,443.12x = 1,991.68 × 946.20
  4. Step 4: Simplify right side
    1,443.12x = 1,884,527.62
  5. Step 5: Solve for x
    x = 1,884,527.62/1,443.12
  6. Step 6: Final answer
    x = 1,305.87

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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.