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Finding the Fourth Proportional to 1,490.55, 2,056.74 and 827.41

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Solution

The fourth proportional to 1,490.55, 2,056.74 and 827.41 is: 1,141.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.55 : 2,056.74 = 827.41 : x
  2. Step 2: Convert to fraction form
    1,490.55/2,056.74 = 827.41/x
  3. Step 3: Cross multiply
    1,490.55x = 2,056.74 × 827.41
  4. Step 4: Simplify right side
    1,490.55x = 1,701,769.31
  5. Step 5: Solve for x
    x = 1,701,769.31/1,490.55
  6. Step 6: Final answer
    x = 1,141.70

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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.