Home / 1,219.07-1,828.78-385.85

Finding the Fourth Proportional to 1,219.07, 1,828.78 and 385.85

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Solution

The fourth proportional to 1,219.07, 1,828.78 and 385.85 is: 578.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.07 : 1,828.78 = 385.85 : x
  2. Step 2: Convert to fraction form
    1,219.07/1,828.78 = 385.85/x
  3. Step 3: Cross multiply
    1,219.07x = 1,828.78 × 385.85
  4. Step 4: Simplify right side
    1,219.07x = 705,634.76
  5. Step 5: Solve for x
    x = 705,634.76/1,219.07
  6. Step 6: Final answer
    x = 578.83

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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.