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Finding the Fourth Proportional to 1,378.56, 1,900.20 and 1,062.72

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Solution

The fourth proportional to 1,378.56, 1,900.20 and 1,062.72 is: 1,464.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.56 : 1,900.20 = 1,062.72 : x
  2. Step 2: Convert to fraction form
    1,378.56/1,900.20 = 1,062.72/x
  3. Step 3: Cross multiply
    1,378.56x = 1,900.20 × 1,062.72
  4. Step 4: Simplify right side
    1,378.56x = 2,019,380.54
  5. Step 5: Solve for x
    x = 2,019,380.54/1,378.56
  6. Step 6: Final answer
    x = 1,464.85

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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.