Home / 1,383.21-2,075.25-409.32

Finding the Fourth Proportional to 1,383.21, 2,075.25 and 409.32

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Solution

The fourth proportional to 1,383.21, 2,075.25 and 409.32 is: 614.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.21 : 2,075.25 = 409.32 : x
  2. Step 2: Convert to fraction form
    1,383.21/2,075.25 = 409.32/x
  3. Step 3: Cross multiply
    1,383.21x = 2,075.25 × 409.32
  4. Step 4: Simplify right side
    1,383.21x = 849,441.33
  5. Step 5: Solve for x
    x = 849,441.33/1,383.21
  6. Step 6: Final answer
    x = 614.11

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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.