Home / 1,491.08-2,057.75-827.93

Finding the Fourth Proportional to 1,491.08, 2,057.75 and 827.93

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Solution

The fourth proportional to 1,491.08, 2,057.75 and 827.93 is: 1,142.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.08 : 2,057.75 = 827.93 : x
  2. Step 2: Convert to fraction form
    1,491.08/2,057.75 = 827.93/x
  3. Step 3: Cross multiply
    1,491.08x = 2,057.75 × 827.93
  4. Step 4: Simplify right side
    1,491.08x = 1,703,673.99
  5. Step 5: Solve for x
    x = 1,703,673.99/1,491.08
  6. Step 6: Final answer
    x = 1,142.58

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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.