Home / 1,490.40-2,056.84-827.33

Finding the Fourth Proportional to 1,490.40, 2,056.84 and 827.33

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Solution

The fourth proportional to 1,490.40, 2,056.84 and 827.33 is: 1,141.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.40 : 2,056.84 = 827.33 : x
  2. Step 2: Convert to fraction form
    1,490.40/2,056.84 = 827.33/x
  3. Step 3: Cross multiply
    1,490.40x = 2,056.84 × 827.33
  4. Step 4: Simplify right side
    1,490.40x = 1,701,673.08
  5. Step 5: Solve for x
    x = 1,701,673.08/1,490.40
  6. Step 6: Final answer
    x = 1,141.76

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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.