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Finding the Fourth Proportional to 677.73, 1,016.70 and 331.08

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Solution

The fourth proportional to 677.73, 1,016.70 and 331.08 is: 496.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.73 : 1,016.70 = 331.08 : x
  2. Step 2: Convert to fraction form
    677.73/1,016.70 = 331.08/x
  3. Step 3: Cross multiply
    677.73x = 1,016.70 × 331.08
  4. Step 4: Simplify right side
    677.73x = 336,609.04
  5. Step 5: Solve for x
    x = 336,609.04/677.73
  6. Step 6: Final answer
    x = 496.67

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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.