Home / 1,383.40-2,075.11-409.58

Finding the Fourth Proportional to 1,383.40, 2,075.11 and 409.58

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Solution

The fourth proportional to 1,383.40, 2,075.11 and 409.58 is: 614.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.40 : 2,075.11 = 409.58 : x
  2. Step 2: Convert to fraction form
    1,383.40/2,075.11 = 409.58/x
  3. Step 3: Cross multiply
    1,383.40x = 2,075.11 × 409.58
  4. Step 4: Simplify right side
    1,383.40x = 849,923.55
  5. Step 5: Solve for x
    x = 849,923.55/1,383.40
  6. Step 6: Final answer
    x = 614.37

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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.