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Finding the Fourth Proportional to 941.95, 1,412.85 and 767.80

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Solution

The fourth proportional to 941.95, 1,412.85 and 767.80 is: 1,151.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.95 : 1,412.85 = 767.80 : x
  2. Step 2: Convert to fraction form
    941.95/1,412.85 = 767.80/x
  3. Step 3: Cross multiply
    941.95x = 1,412.85 × 767.80
  4. Step 4: Simplify right side
    941.95x = 1,084,786.23
  5. Step 5: Solve for x
    x = 1,084,786.23/941.95
  6. Step 6: Final answer
    x = 1,151.64

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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.