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Finding the Fourth Proportional to 466.57, 698.87 and 311.99

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Solution

The fourth proportional to 466.57, 698.87 and 311.99 is: 467.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.57 : 698.87 = 311.99 : x
  2. Step 2: Convert to fraction form
    466.57/698.87 = 311.99/x
  3. Step 3: Cross multiply
    466.57x = 698.87 × 311.99
  4. Step 4: Simplify right side
    466.57x = 218,040.45
  5. Step 5: Solve for x
    x = 218,040.45/466.57
  6. Step 6: Final answer
    x = 467.33

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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.