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Finding the Fourth Proportional to 422.32, 629.12 and 395.76

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Solution

The fourth proportional to 422.32, 629.12 and 395.76 is: 589.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.32 : 629.12 = 395.76 : x
  2. Step 2: Convert to fraction form
    422.32/629.12 = 395.76/x
  3. Step 3: Cross multiply
    422.32x = 629.12 × 395.76
  4. Step 4: Simplify right side
    422.32x = 248,980.53
  5. Step 5: Solve for x
    x = 248,980.53/422.32
  6. Step 6: Final answer
    x = 589.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.