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Finding the Fourth Proportional to 1,491.15, 2,057.84 and 828.07

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Solution

The fourth proportional to 1,491.15, 2,057.84 and 828.07 is: 1,142.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.15 : 2,057.84 = 828.07 : x
  2. Step 2: Convert to fraction form
    1,491.15/2,057.84 = 828.07/x
  3. Step 3: Cross multiply
    1,491.15x = 2,057.84 × 828.07
  4. Step 4: Simplify right side
    1,491.15x = 1,704,035.57
  5. Step 5: Solve for x
    x = 1,704,035.57/1,491.15
  6. Step 6: Final answer
    x = 1,142.77

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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.