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Finding the Fourth Proportional to 479.78, 662.32 and 361.80

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Solution

The fourth proportional to 479.78, 662.32 and 361.80 is: 499.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.78 : 662.32 = 361.80 : x
  2. Step 2: Convert to fraction form
    479.78/662.32 = 361.80/x
  3. Step 3: Cross multiply
    479.78x = 662.32 × 361.80
  4. Step 4: Simplify right side
    479.78x = 239,627.38
  5. Step 5: Solve for x
    x = 239,627.38/479.78
  6. Step 6: Final answer
    x = 499.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.