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Finding the Fourth Proportional to 499.96, 683.64 and 499.96

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Solution

The fourth proportional to 499.96, 683.64 and 499.96 is: 683.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.96 : 683.64 = 499.96 : x
  2. Step 2: Convert to fraction form
    499.96/683.64 = 499.96/x
  3. Step 3: Cross multiply
    499.96x = 683.64 × 499.96
  4. Step 4: Simplify right side
    499.96x = 341,792.65
  5. Step 5: Solve for x
    x = 341,792.65/499.96
  6. Step 6: Final answer
    x = 683.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.