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Finding the Fourth Proportional to 1,283.83, 1,771.90 and 786.75

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Solution

The fourth proportional to 1,283.83, 1,771.90 and 786.75 is: 1,085.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.83 : 1,771.90 = 786.75 : x
  2. Step 2: Convert to fraction form
    1,283.83/1,771.90 = 786.75/x
  3. Step 3: Cross multiply
    1,283.83x = 1,771.90 × 786.75
  4. Step 4: Simplify right side
    1,283.83x = 1,394,035.93
  5. Step 5: Solve for x
    x = 1,394,035.93/1,283.83
  6. Step 6: Final answer
    x = 1,085.84

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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.