Home / 1,078.85-1,618.38-298.90

Finding the Fourth Proportional to 1,078.85, 1,618.38 and 298.90

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Solution

The fourth proportional to 1,078.85, 1,618.38 and 298.90 is: 448.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.85 : 1,618.38 = 298.90 : x
  2. Step 2: Convert to fraction form
    1,078.85/1,618.38 = 298.90/x
  3. Step 3: Cross multiply
    1,078.85x = 1,618.38 × 298.90
  4. Step 4: Simplify right side
    1,078.85x = 483,732.29
  5. Step 5: Solve for x
    x = 483,732.29/1,078.85
  6. Step 6: Final answer
    x = 448.38

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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.