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Finding the Fourth Proportional to 657.30, 986.39 and 311.03

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Solution

The fourth proportional to 657.30, 986.39 and 311.03 is: 466.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.30 : 986.39 = 311.03 : x
  2. Step 2: Convert to fraction form
    657.30/986.39 = 311.03/x
  3. Step 3: Cross multiply
    657.30x = 986.39 × 311.03
  4. Step 4: Simplify right side
    657.30x = 306,796.88
  5. Step 5: Solve for x
    x = 306,796.88/657.30
  6. Step 6: Final answer
    x = 466.75

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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.