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Finding the Fourth Proportional to 1,443.04, 1,990.24 and 1,268

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Solution

The fourth proportional to 1,443.04, 1,990.24 and 1,268 is: 1,748.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.04 : 1,990.24 = 1,268 : x
  2. Step 2: Convert to fraction form
    1,443.04/1,990.24 = 1,268/x
  3. Step 3: Cross multiply
    1,443.04x = 1,990.24 × 1,268
  4. Step 4: Simplify right side
    1,443.04x = 2,523,624.32
  5. Step 5: Solve for x
    x = 2,523,624.32/1,443.04
  6. Step 6: Final answer
    x = 1,748.82

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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.