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Finding the Fourth Proportional to 421.86, 629.43 and 377.82

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Solution

The fourth proportional to 421.86, 629.43 and 377.82 is: 563.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.86 : 629.43 = 377.82 : x
  2. Step 2: Convert to fraction form
    421.86/629.43 = 377.82/x
  3. Step 3: Cross multiply
    421.86x = 629.43 × 377.82
  4. Step 4: Simplify right side
    421.86x = 237,811.24
  5. Step 5: Solve for x
    x = 237,811.24/421.86
  6. Step 6: Final answer
    x = 563.72

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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.