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Finding the Fourth Proportional to 1,374.21, 2,057.27 and 910.71

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Solution

The fourth proportional to 1,374.21, 2,057.27 and 910.71 is: 1,363.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.21 : 2,057.27 = 910.71 : x
  2. Step 2: Convert to fraction form
    1,374.21/2,057.27 = 910.71/x
  3. Step 3: Cross multiply
    1,374.21x = 2,057.27 × 910.71
  4. Step 4: Simplify right side
    1,374.21x = 1,873,571.81
  5. Step 5: Solve for x
    x = 1,873,571.81/1,374.21
  6. Step 6: Final answer
    x = 1,363.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.