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Finding the Fourth Proportional to 1,277.14, 1,912.97 and 788.71

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Solution

The fourth proportional to 1,277.14, 1,912.97 and 788.71 is: 1,181.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.14 : 1,912.97 = 788.71 : x
  2. Step 2: Convert to fraction form
    1,277.14/1,912.97 = 788.71/x
  3. Step 3: Cross multiply
    1,277.14x = 1,912.97 × 788.71
  4. Step 4: Simplify right side
    1,277.14x = 1,508,775.76
  5. Step 5: Solve for x
    x = 1,508,775.76/1,277.14
  6. Step 6: Final answer
    x = 1,181.37

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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.