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Finding the Fourth Proportional to 785.34, 1,180.98 and 629.55

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Solution

The fourth proportional to 785.34, 1,180.98 and 629.55 is: 946.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.34 : 1,180.98 = 629.55 : x
  2. Step 2: Convert to fraction form
    785.34/1,180.98 = 629.55/x
  3. Step 3: Cross multiply
    785.34x = 1,180.98 × 629.55
  4. Step 4: Simplify right side
    785.34x = 743,485.96
  5. Step 5: Solve for x
    x = 743,485.96/785.34
  6. Step 6: Final answer
    x = 946.71

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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.