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Finding the Fourth Proportional to 1,305.35, 1,800.38 and 780.83

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Solution

The fourth proportional to 1,305.35, 1,800.38 and 780.83 is: 1,076.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.35 : 1,800.38 = 780.83 : x
  2. Step 2: Convert to fraction form
    1,305.35/1,800.38 = 780.83/x
  3. Step 3: Cross multiply
    1,305.35x = 1,800.38 × 780.83
  4. Step 4: Simplify right side
    1,305.35x = 1,405,786.81
  5. Step 5: Solve for x
    x = 1,405,786.81/1,305.35
  6. Step 6: Final answer
    x = 1,076.94

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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.