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Finding the Fourth Proportional to 1,221.75, 1,833.17 and 708.75

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Solution

The fourth proportional to 1,221.75, 1,833.17 and 708.75 is: 1,063.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.75 : 1,833.17 = 708.75 : x
  2. Step 2: Convert to fraction form
    1,221.75/1,833.17 = 708.75/x
  3. Step 3: Cross multiply
    1,221.75x = 1,833.17 × 708.75
  4. Step 4: Simplify right side
    1,221.75x = 1,299,259.24
  5. Step 5: Solve for x
    x = 1,299,259.24/1,221.75
  6. Step 6: Final answer
    x = 1,063.44

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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.