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Finding the Fourth Proportional to 1,309.95, 1,966.31 and 791.22

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Solution

The fourth proportional to 1,309.95, 1,966.31 and 791.22 is: 1,187.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.95 : 1,966.31 = 791.22 : x
  2. Step 2: Convert to fraction form
    1,309.95/1,966.31 = 791.22/x
  3. Step 3: Cross multiply
    1,309.95x = 1,966.31 × 791.22
  4. Step 4: Simplify right side
    1,309.95x = 1,555,783.80
  5. Step 5: Solve for x
    x = 1,555,783.80/1,309.95
  6. Step 6: Final answer
    x = 1,187.67

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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.