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Finding the Fourth Proportional to 1,490.28, 2,056.74 and 827.22

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Solution

The fourth proportional to 1,490.28, 2,056.74 and 827.22 is: 1,141.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.28 : 2,056.74 = 827.22 : x
  2. Step 2: Convert to fraction form
    1,490.28/2,056.74 = 827.22/x
  3. Step 3: Cross multiply
    1,490.28x = 2,056.74 × 827.22
  4. Step 4: Simplify right side
    1,490.28x = 1,701,376.46
  5. Step 5: Solve for x
    x = 1,701,376.46/1,490.28
  6. Step 6: Final answer
    x = 1,141.65

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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.