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Finding the Fourth Proportional to 706.70, 1,060.22 and 219.76

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Solution

The fourth proportional to 706.70, 1,060.22 and 219.76 is: 329.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.70 : 1,060.22 = 219.76 : x
  2. Step 2: Convert to fraction form
    706.70/1,060.22 = 219.76/x
  3. Step 3: Cross multiply
    706.70x = 1,060.22 × 219.76
  4. Step 4: Simplify right side
    706.70x = 232,993.95
  5. Step 5: Solve for x
    x = 232,993.95/706.70
  6. Step 6: Final answer
    x = 329.69

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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.