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Finding the Fourth Proportional to 1,309.13, 1,961.07 and 788.85

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Solution

The fourth proportional to 1,309.13, 1,961.07 and 788.85 is: 1,181.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.13 : 1,961.07 = 788.85 : x
  2. Step 2: Convert to fraction form
    1,309.13/1,961.07 = 788.85/x
  3. Step 3: Cross multiply
    1,309.13x = 1,961.07 × 788.85
  4. Step 4: Simplify right side
    1,309.13x = 1,546,990.07
  5. Step 5: Solve for x
    x = 1,546,990.07/1,309.13
  6. Step 6: Final answer
    x = 1,181.70

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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.