Home / 1,078.20-1,616.22-384.44

Finding the Fourth Proportional to 1,078.20, 1,616.22 and 384.44

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Solution

The fourth proportional to 1,078.20, 1,616.22 and 384.44 is: 576.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.20 : 1,616.22 = 384.44 : x
  2. Step 2: Convert to fraction form
    1,078.20/1,616.22 = 384.44/x
  3. Step 3: Cross multiply
    1,078.20x = 1,616.22 × 384.44
  4. Step 4: Simplify right side
    1,078.20x = 621,331.54
  5. Step 5: Solve for x
    x = 621,331.54/1,078.20
  6. Step 6: Final answer
    x = 576.27

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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.