Home / 1,383.58-2,075.38-409.70

Finding the Fourth Proportional to 1,383.58, 2,075.38 and 409.70

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Solution

The fourth proportional to 1,383.58, 2,075.38 and 409.70 is: 614.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.58 : 2,075.38 = 409.70 : x
  2. Step 2: Convert to fraction form
    1,383.58/2,075.38 = 409.70/x
  3. Step 3: Cross multiply
    1,383.58x = 2,075.38 × 409.70
  4. Step 4: Simplify right side
    1,383.58x = 850,283.19
  5. Step 5: Solve for x
    x = 850,283.19/1,383.58
  6. Step 6: Final answer
    x = 614.55

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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.