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Finding the Fourth Proportional to 1,206.75, 1,808.43 and 679.17

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Solution

The fourth proportional to 1,206.75, 1,808.43 and 679.17 is: 1,017.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.75 : 1,808.43 = 679.17 : x
  2. Step 2: Convert to fraction form
    1,206.75/1,808.43 = 679.17/x
  3. Step 3: Cross multiply
    1,206.75x = 1,808.43 × 679.17
  4. Step 4: Simplify right side
    1,206.75x = 1,228,231.40
  5. Step 5: Solve for x
    x = 1,228,231.40/1,206.75
  6. Step 6: Final answer
    x = 1,017.80

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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.