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Finding the Fourth Proportional to 1,286.38, 1,774.82 and 788.50

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Solution

The fourth proportional to 1,286.38, 1,774.82 and 788.50 is: 1,087.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.38 : 1,774.82 = 788.50 : x
  2. Step 2: Convert to fraction form
    1,286.38/1,774.82 = 788.50/x
  3. Step 3: Cross multiply
    1,286.38x = 1,774.82 × 788.50
  4. Step 4: Simplify right side
    1,286.38x = 1,399,445.57
  5. Step 5: Solve for x
    x = 1,399,445.57/1,286.38
  6. Step 6: Final answer
    x = 1,087.89

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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.