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Finding the Fourth Proportional to 706.82, 1,059.84 and 219.74

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Solution

The fourth proportional to 706.82, 1,059.84 and 219.74 is: 329.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.82 : 1,059.84 = 219.74 : x
  2. Step 2: Convert to fraction form
    706.82/1,059.84 = 219.74/x
  3. Step 3: Cross multiply
    706.82x = 1,059.84 × 219.74
  4. Step 4: Simplify right side
    706.82x = 232,889.24
  5. Step 5: Solve for x
    x = 232,889.24/706.82
  6. Step 6: Final answer
    x = 329.49

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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.