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Finding the Fourth Proportional to 1,383.85, 2,075.57 and 396.73

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Solution

The fourth proportional to 1,383.85, 2,075.57 and 396.73 is: 595.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.85 : 2,075.57 = 396.73 : x
  2. Step 2: Convert to fraction form
    1,383.85/2,075.57 = 396.73/x
  3. Step 3: Cross multiply
    1,383.85x = 2,075.57 × 396.73
  4. Step 4: Simplify right side
    1,383.85x = 823,428.52
  5. Step 5: Solve for x
    x = 823,428.52/1,383.85
  6. Step 6: Final answer
    x = 595.03

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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.