Home / 1,490.94-2,057.61-827.93

Finding the Fourth Proportional to 1,490.94, 2,057.61 and 827.93

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Solution

The fourth proportional to 1,490.94, 2,057.61 and 827.93 is: 1,142.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.94 : 2,057.61 = 827.93 : x
  2. Step 2: Convert to fraction form
    1,490.94/2,057.61 = 827.93/x
  3. Step 3: Cross multiply
    1,490.94x = 2,057.61 × 827.93
  4. Step 4: Simplify right side
    1,490.94x = 1,703,546.76
  5. Step 5: Solve for x
    x = 1,703,546.76/1,490.94
  6. Step 6: Final answer
    x = 1,142.60

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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.