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Finding the Fourth Proportional to 1,394.85, 1,924.97 and 773.85

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Solution

The fourth proportional to 1,394.85, 1,924.97 and 773.85 is: 1,067.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.85 : 1,924.97 = 773.85 : x
  2. Step 2: Convert to fraction form
    1,394.85/1,924.97 = 773.85/x
  3. Step 3: Cross multiply
    1,394.85x = 1,924.97 × 773.85
  4. Step 4: Simplify right side
    1,394.85x = 1,489,638.03
  5. Step 5: Solve for x
    x = 1,489,638.03/1,394.85
  6. Step 6: Final answer
    x = 1,067.96

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1.5x scale

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.