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Finding the Fourth Proportional to 421.74, 629.64 and 378.27

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Solution

The fourth proportional to 421.74, 629.64 and 378.27 is: 564.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.74 : 629.64 = 378.27 : x
  2. Step 2: Convert to fraction form
    421.74/629.64 = 378.27/x
  3. Step 3: Cross multiply
    421.74x = 629.64 × 378.27
  4. Step 4: Simplify right side
    421.74x = 238,173.92
  5. Step 5: Solve for x
    x = 238,173.92/421.74
  6. Step 6: Final answer
    x = 564.74

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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.