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Finding the Fourth Proportional to 1,371.91, 2,057.86 and 398.01

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Solution

The fourth proportional to 1,371.91, 2,057.86 and 398.01 is: 597.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.91 : 2,057.86 = 398.01 : x
  2. Step 2: Convert to fraction form
    1,371.91/2,057.86 = 398.01/x
  3. Step 3: Cross multiply
    1,371.91x = 2,057.86 × 398.01
  4. Step 4: Simplify right side
    1,371.91x = 819,048.86
  5. Step 5: Solve for x
    x = 819,048.86/1,371.91
  6. Step 6: Final answer
    x = 597.01

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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.