Home / 1,078.18-1,617.09-308.50

Finding the Fourth Proportional to 1,078.18, 1,617.09 and 308.50

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Solution

The fourth proportional to 1,078.18, 1,617.09 and 308.50 is: 462.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.18 : 1,617.09 = 308.50 : x
  2. Step 2: Convert to fraction form
    1,078.18/1,617.09 = 308.50/x
  3. Step 3: Cross multiply
    1,078.18x = 1,617.09 × 308.50
  4. Step 4: Simplify right side
    1,078.18x = 498,872.27
  5. Step 5: Solve for x
    x = 498,872.27/1,078.18
  6. Step 6: Final answer
    x = 462.70

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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.