Home / 678.03-1,016.24-496.05

Finding the Fourth Proportional to 678.03, 1,016.24 and 496.05

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Solution

The fourth proportional to 678.03, 1,016.24 and 496.05 is: 743.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.03 : 1,016.24 = 496.05 : x
  2. Step 2: Convert to fraction form
    678.03/1,016.24 = 496.05/x
  3. Step 3: Cross multiply
    678.03x = 1,016.24 × 496.05
  4. Step 4: Simplify right side
    678.03x = 504,103.37
  5. Step 5: Solve for x
    x = 504,103.37/678.03
  6. Step 6: Final answer
    x = 743.48

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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.