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Finding the Fourth Proportional to 421.94, 629.72 and 375.12

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Solution

The fourth proportional to 421.94, 629.72 and 375.12 is: 559.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.94 : 629.72 = 375.12 : x
  2. Step 2: Convert to fraction form
    421.94/629.72 = 375.12/x
  3. Step 3: Cross multiply
    421.94x = 629.72 × 375.12
  4. Step 4: Simplify right side
    421.94x = 236,218.69
  5. Step 5: Solve for x
    x = 236,218.69/421.94
  6. Step 6: Final answer
    x = 559.85

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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.