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Finding the Fourth Proportional to 1,371.74, 2,057.11 and 397.64

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Solution

The fourth proportional to 1,371.74, 2,057.11 and 397.64 is: 596.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.74 : 2,057.11 = 397.64 : x
  2. Step 2: Convert to fraction form
    1,371.74/2,057.11 = 397.64/x
  3. Step 3: Cross multiply
    1,371.74x = 2,057.11 × 397.64
  4. Step 4: Simplify right side
    1,371.74x = 817,989.22
  5. Step 5: Solve for x
    x = 817,989.22/1,371.74
  6. Step 6: Final answer
    x = 596.32

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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.