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Finding the Fourth Proportional to 1,309.11, 1,961.09 and 760.14

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Solution

The fourth proportional to 1,309.11, 1,961.09 and 760.14 is: 1,138.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.11 : 1,961.09 = 760.14 : x
  2. Step 2: Convert to fraction form
    1,309.11/1,961.09 = 760.14/x
  3. Step 3: Cross multiply
    1,309.11x = 1,961.09 × 760.14
  4. Step 4: Simplify right side
    1,309.11x = 1,490,702.95
  5. Step 5: Solve for x
    x = 1,490,702.95/1,309.11
  6. Step 6: Final answer
    x = 1,138.71

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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.