Home / 1,490.35-2,056.70-827.23

Finding the Fourth Proportional to 1,490.35, 2,056.70 and 827.23

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Solution

The fourth proportional to 1,490.35, 2,056.70 and 827.23 is: 1,141.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.35 : 2,056.70 = 827.23 : x
  2. Step 2: Convert to fraction form
    1,490.35/2,056.70 = 827.23/x
  3. Step 3: Cross multiply
    1,490.35x = 2,056.70 × 827.23
  4. Step 4: Simplify right side
    1,490.35x = 1,701,360.87
  5. Step 5: Solve for x
    x = 1,701,360.87/1,490.35
  6. Step 6: Final answer
    x = 1,141.59

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1.5x scale

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.