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Finding the Fourth Proportional to 1,371.94, 2,057.85 and 494.46

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Solution

The fourth proportional to 1,371.94, 2,057.85 and 494.46 is: 741.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.94 : 2,057.85 = 494.46 : x
  2. Step 2: Convert to fraction form
    1,371.94/2,057.85 = 494.46/x
  3. Step 3: Cross multiply
    1,371.94x = 2,057.85 × 494.46
  4. Step 4: Simplify right side
    1,371.94x = 1,017,524.51
  5. Step 5: Solve for x
    x = 1,017,524.51/1,371.94
  6. Step 6: Final answer
    x = 741.67

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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.