Home / 1,078.28-1,617.45-308.78

Finding the Fourth Proportional to 1,078.28, 1,617.45 and 308.78

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Solution

The fourth proportional to 1,078.28, 1,617.45 and 308.78 is: 463.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.28 : 1,617.45 = 308.78 : x
  2. Step 2: Convert to fraction form
    1,078.28/1,617.45 = 308.78/x
  3. Step 3: Cross multiply
    1,078.28x = 1,617.45 × 308.78
  4. Step 4: Simplify right side
    1,078.28x = 499,436.21
  5. Step 5: Solve for x
    x = 499,436.21/1,078.28
  6. Step 6: Final answer
    x = 463.18

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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.