Home / 1,371.14-2,057.27-493.76

Finding the Fourth Proportional to 1,371.14, 2,057.27 and 493.76

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Solution

The fourth proportional to 1,371.14, 2,057.27 and 493.76 is: 740.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.14 : 2,057.27 = 493.76 : x
  2. Step 2: Convert to fraction form
    1,371.14/2,057.27 = 493.76/x
  3. Step 3: Cross multiply
    1,371.14x = 2,057.27 × 493.76
  4. Step 4: Simplify right side
    1,371.14x = 1,015,784.88
  5. Step 5: Solve for x
    x = 1,015,784.88/1,371.14
  6. Step 6: Final answer
    x = 740.84

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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.