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Finding the Fourth Proportional to 421.88, 629.44 and 377.84

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Solution

The fourth proportional to 421.88, 629.44 and 377.84 is: 563.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.88 : 629.44 = 377.84 : x
  2. Step 2: Convert to fraction form
    421.88/629.44 = 377.84/x
  3. Step 3: Cross multiply
    421.88x = 629.44 × 377.84
  4. Step 4: Simplify right side
    421.88x = 237,827.61
  5. Step 5: Solve for x
    x = 237,827.61/421.88
  6. Step 6: Final answer
    x = 563.73

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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.