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Finding the Fourth Proportional to 706.67, 1,059.80 and 213.06

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Solution

The fourth proportional to 706.67, 1,059.80 and 213.06 is: 319.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.67 : 1,059.80 = 213.06 : x
  2. Step 2: Convert to fraction form
    706.67/1,059.80 = 213.06/x
  3. Step 3: Cross multiply
    706.67x = 1,059.80 × 213.06
  4. Step 4: Simplify right side
    706.67x = 225,799.92
  5. Step 5: Solve for x
    x = 225,799.92/706.67
  6. Step 6: Final answer
    x = 319.53

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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.