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Finding the Fourth Proportional to 684.58, 1,021.82 and 629.67

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Solution

The fourth proportional to 684.58, 1,021.82 and 629.67 is: 939.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.58 : 1,021.82 = 629.67 : x
  2. Step 2: Convert to fraction form
    684.58/1,021.82 = 629.67/x
  3. Step 3: Cross multiply
    684.58x = 1,021.82 × 629.67
  4. Step 4: Simplify right side
    684.58x = 643,410.08
  5. Step 5: Solve for x
    x = 643,410.08/684.58
  6. Step 6: Final answer
    x = 939.87

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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.