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Finding the Fourth Proportional to 706.78, 1,060.29 and 219.74

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Solution

The fourth proportional to 706.78, 1,060.29 and 219.74 is: 329.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.78 : 1,060.29 = 219.74 : x
  2. Step 2: Convert to fraction form
    706.78/1,060.29 = 219.74/x
  3. Step 3: Cross multiply
    706.78x = 1,060.29 × 219.74
  4. Step 4: Simplify right side
    706.78x = 232,982.82
  5. Step 5: Solve for x
    x = 232,982.82/706.78
  6. Step 6: Final answer
    x = 329.64

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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.