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Finding the Fourth Proportional to 1,383.92, 2,075.53 and 409.80

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Solution

The fourth proportional to 1,383.92, 2,075.53 and 409.80 is: 614.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.92 : 2,075.53 = 409.80 : x
  2. Step 2: Convert to fraction form
    1,383.92/2,075.53 = 409.80/x
  3. Step 3: Cross multiply
    1,383.92x = 2,075.53 × 409.80
  4. Step 4: Simplify right side
    1,383.92x = 850,545.42
  5. Step 5: Solve for x
    x = 850,545.42/1,383.92
  6. Step 6: Final answer
    x = 614.59

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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.