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Finding the Fourth Proportional to 1,383.12, 2,075.03 and 409.22

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Solution

The fourth proportional to 1,383.12, 2,075.03 and 409.22 is: 613.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.12 : 2,075.03 = 409.22 : x
  2. Step 2: Convert to fraction form
    1,383.12/2,075.03 = 409.22/x
  3. Step 3: Cross multiply
    1,383.12x = 2,075.03 × 409.22
  4. Step 4: Simplify right side
    1,383.12x = 849,143.78
  5. Step 5: Solve for x
    x = 849,143.78/1,383.12
  6. Step 6: Final answer
    x = 613.93

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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.