Home / 1,383.96-2,075.34-409.80

Finding the Fourth Proportional to 1,383.96, 2,075.34 and 409.80

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Solution

The fourth proportional to 1,383.96, 2,075.34 and 409.80 is: 614.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.96 : 2,075.34 = 409.80 : x
  2. Step 2: Convert to fraction form
    1,383.96/2,075.34 = 409.80/x
  3. Step 3: Cross multiply
    1,383.96x = 2,075.34 × 409.80
  4. Step 4: Simplify right side
    1,383.96x = 850,474.33
  5. Step 5: Solve for x
    x = 850,474.33/1,383.96
  6. Step 6: Final answer
    x = 614.52

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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.