Home / 1,384.05-2,075.82-409.92

Finding the Fourth Proportional to 1,384.05, 2,075.82 and 409.92

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Solution

The fourth proportional to 1,384.05, 2,075.82 and 409.92 is: 614.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.05 : 2,075.82 = 409.92 : x
  2. Step 2: Convert to fraction form
    1,384.05/2,075.82 = 409.92/x
  3. Step 3: Cross multiply
    1,384.05x = 2,075.82 × 409.92
  4. Step 4: Simplify right side
    1,384.05x = 850,920.13
  5. Step 5: Solve for x
    x = 850,920.13/1,384.05
  6. Step 6: Final answer
    x = 614.80

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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.