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Finding the Fourth Proportional to 465.80, 698.70 and 311.23

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Solution

The fourth proportional to 465.80, 698.70 and 311.23 is: 466.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.80 : 698.70 = 311.23 : x
  2. Step 2: Convert to fraction form
    465.80/698.70 = 311.23/x
  3. Step 3: Cross multiply
    465.80x = 698.70 × 311.23
  4. Step 4: Simplify right side
    465.80x = 217,456.40
  5. Step 5: Solve for x
    x = 217,456.40/465.80
  6. Step 6: Final answer
    x = 466.85

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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.