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Finding the Fourth Proportional to 629.07, 942.65 and 422.88

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Solution

The fourth proportional to 629.07, 942.65 and 422.88 is: 633.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.07 : 942.65 = 422.88 : x
  2. Step 2: Convert to fraction form
    629.07/942.65 = 422.88/x
  3. Step 3: Cross multiply
    629.07x = 942.65 × 422.88
  4. Step 4: Simplify right side
    629.07x = 398,627.01
  5. Step 5: Solve for x
    x = 398,627.01/629.07
  6. Step 6: Final answer
    x = 633.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.