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Finding the Fourth Proportional to 1,078.09, 1,617.38 and 308.59

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Solution

The fourth proportional to 1,078.09, 1,617.38 and 308.59 is: 462.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.09 : 1,617.38 = 308.59 : x
  2. Step 2: Convert to fraction form
    1,078.09/1,617.38 = 308.59/x
  3. Step 3: Cross multiply
    1,078.09x = 1,617.38 × 308.59
  4. Step 4: Simplify right side
    1,078.09x = 499,107.29
  5. Step 5: Solve for x
    x = 499,107.29/1,078.09
  6. Step 6: Final answer
    x = 462.96

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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.