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Finding the Fourth Proportional to 1,205.45, 1,809.06 and 512.31

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Solution

The fourth proportional to 1,205.45, 1,809.06 and 512.31 is: 768.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.45 : 1,809.06 = 512.31 : x
  2. Step 2: Convert to fraction form
    1,205.45/1,809.06 = 512.31/x
  3. Step 3: Cross multiply
    1,205.45x = 1,809.06 × 512.31
  4. Step 4: Simplify right side
    1,205.45x = 926,796.97
  5. Step 5: Solve for x
    x = 926,796.97/1,205.45
  6. Step 6: Final answer
    x = 768.84

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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.