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Finding the Fourth Proportional to 961.67, 1,325.97 and 629.99

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Solution

The fourth proportional to 961.67, 1,325.97 and 629.99 is: 868.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.67 : 1,325.97 = 629.99 : x
  2. Step 2: Convert to fraction form
    961.67/1,325.97 = 629.99/x
  3. Step 3: Cross multiply
    961.67x = 1,325.97 × 629.99
  4. Step 4: Simplify right side
    961.67x = 835,347.84
  5. Step 5: Solve for x
    x = 835,347.84/961.67
  6. Step 6: Final answer
    x = 868.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.