Home / 1,078.37-1,617.45-298.43

Finding the Fourth Proportional to 1,078.37, 1,617.45 and 298.43

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Solution

The fourth proportional to 1,078.37, 1,617.45 and 298.43 is: 447.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.37 : 1,617.45 = 298.43 : x
  2. Step 2: Convert to fraction form
    1,078.37/1,617.45 = 298.43/x
  3. Step 3: Cross multiply
    1,078.37x = 1,617.45 × 298.43
  4. Step 4: Simplify right side
    1,078.37x = 482,695.60
  5. Step 5: Solve for x
    x = 482,695.60/1,078.37
  6. Step 6: Final answer
    x = 447.62

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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.