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Finding the Fourth Proportional to 706.61, 1,059.97 and 341.61

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Solution

The fourth proportional to 706.61, 1,059.97 and 341.61 is: 512.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.61 : 1,059.97 = 341.61 : x
  2. Step 2: Convert to fraction form
    706.61/1,059.97 = 341.61/x
  3. Step 3: Cross multiply
    706.61x = 1,059.97 × 341.61
  4. Step 4: Simplify right side
    706.61x = 362,096.35
  5. Step 5: Solve for x
    x = 362,096.35/706.61
  6. Step 6: Final answer
    x = 512.44

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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.