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Finding the Fourth Proportional to 455.67, 683.85 and 334.25

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Solution

The fourth proportional to 455.67, 683.85 and 334.25 is: 501.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.67 : 683.85 = 334.25 : x
  2. Step 2: Convert to fraction form
    455.67/683.85 = 334.25/x
  3. Step 3: Cross multiply
    455.67x = 683.85 × 334.25
  4. Step 4: Simplify right side
    455.67x = 228,576.86
  5. Step 5: Solve for x
    x = 228,576.86/455.67
  6. Step 6: Final answer
    x = 501.63

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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.