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Finding the Fourth Proportional to 455.85, 682.70 and 311.13

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Solution

The fourth proportional to 455.85, 682.70 and 311.13 is: 465.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.85 : 682.70 = 311.13 : x
  2. Step 2: Convert to fraction form
    455.85/682.70 = 311.13/x
  3. Step 3: Cross multiply
    455.85x = 682.70 × 311.13
  4. Step 4: Simplify right side
    455.85x = 212,406.90
  5. Step 5: Solve for x
    x = 212,406.90/455.85
  6. Step 6: Final answer
    x = 465.96

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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.