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Finding the Fourth Proportional to 499.02, 683.66 and 480.31

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Solution

The fourth proportional to 499.02, 683.66 and 480.31 is: 658.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.02 : 683.66 = 480.31 : x
  2. Step 2: Convert to fraction form
    499.02/683.66 = 480.31/x
  3. Step 3: Cross multiply
    499.02x = 683.66 × 480.31
  4. Step 4: Simplify right side
    499.02x = 328,370.45
  5. Step 5: Solve for x
    x = 328,370.45/499.02
  6. Step 6: Final answer
    x = 658.03

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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.