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Finding the Fourth Proportional to 493.46, 683.86 and 486.50

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Solution

The fourth proportional to 493.46, 683.86 and 486.50 is: 674.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.46 : 683.86 = 486.50 : x
  2. Step 2: Convert to fraction form
    493.46/683.86 = 486.50/x
  3. Step 3: Cross multiply
    493.46x = 683.86 × 486.50
  4. Step 4: Simplify right side
    493.46x = 332,695.46
  5. Step 5: Solve for x
    x = 332,695.46/493.46
  6. Step 6: Final answer
    x = 674.21

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.