Home / 1,491.20-2,057.78-828.04

Finding the Fourth Proportional to 1,491.20, 2,057.78 and 828.04

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Solution

The fourth proportional to 1,491.20, 2,057.78 and 828.04 is: 1,142.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.20 : 2,057.78 = 828.04 : x
  2. Step 2: Convert to fraction form
    1,491.20/2,057.78 = 828.04/x
  3. Step 3: Cross multiply
    1,491.20x = 2,057.78 × 828.04
  4. Step 4: Simplify right side
    1,491.20x = 1,703,924.15
  5. Step 5: Solve for x
    x = 1,703,924.15/1,491.20
  6. Step 6: Final answer
    x = 1,142.65

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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.