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Finding the Fourth Proportional to 1,206.85, 1,809.45 and 768.43

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Solution

The fourth proportional to 1,206.85, 1,809.45 and 768.43 is: 1,152.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.85 : 1,809.45 = 768.43 : x
  2. Step 2: Convert to fraction form
    1,206.85/1,809.45 = 768.43/x
  3. Step 3: Cross multiply
    1,206.85x = 1,809.45 × 768.43
  4. Step 4: Simplify right side
    1,206.85x = 1,390,435.66
  5. Step 5: Solve for x
    x = 1,390,435.66/1,206.85
  6. Step 6: Final answer
    x = 1,152.12

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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.