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Finding the Fourth Proportional to 941.67, 1,409.97 and 767.62

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Solution

The fourth proportional to 941.67, 1,409.97 and 767.62 is: 1,149.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.67 : 1,409.97 = 767.62 : x
  2. Step 2: Convert to fraction form
    941.67/1,409.97 = 767.62/x
  3. Step 3: Cross multiply
    941.67x = 1,409.97 × 767.62
  4. Step 4: Simplify right side
    941.67x = 1,082,321.17
  5. Step 5: Solve for x
    x = 1,082,321.17/941.67
  6. Step 6: Final answer
    x = 1,149.36

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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.