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Finding the Fourth Proportional to 657.81, 986.20 and 311.29

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Solution

The fourth proportional to 657.81, 986.20 and 311.29 is: 466.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.81 : 986.20 = 311.29 : x
  2. Step 2: Convert to fraction form
    657.81/986.20 = 311.29/x
  3. Step 3: Cross multiply
    657.81x = 986.20 × 311.29
  4. Step 4: Simplify right side
    657.81x = 306,990.95
  5. Step 5: Solve for x
    x = 306,990.95/657.81
  6. Step 6: Final answer
    x = 466.69

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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.