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Finding the Fourth Proportional to 1,383.70, 2,075.95 and 409.82

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Solution

The fourth proportional to 1,383.70, 2,075.95 and 409.82 is: 614.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.70 : 2,075.95 = 409.82 : x
  2. Step 2: Convert to fraction form
    1,383.70/2,075.95 = 409.82/x
  3. Step 3: Cross multiply
    1,383.70x = 2,075.95 × 409.82
  4. Step 4: Simplify right side
    1,383.70x = 850,765.83
  5. Step 5: Solve for x
    x = 850,765.83/1,383.70
  6. Step 6: Final answer
    x = 614.85

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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.