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Finding the Fourth Proportional to 1,490.50, 2,057.03 and 827.41

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Solution

The fourth proportional to 1,490.50, 2,057.03 and 827.41 is: 1,141.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.50 : 2,057.03 = 827.41 : x
  2. Step 2: Convert to fraction form
    1,490.50/2,057.03 = 827.41/x
  3. Step 3: Cross multiply
    1,490.50x = 2,057.03 × 827.41
  4. Step 4: Simplify right side
    1,490.50x = 1,702,007.19
  5. Step 5: Solve for x
    x = 1,702,007.19/1,490.50
  6. Step 6: Final answer
    x = 1,141.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.