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Finding the Fourth Proportional to 706.46, 1,059.90 and 316.78

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Solution

The fourth proportional to 706.46, 1,059.90 and 316.78 is: 475.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.46 : 1,059.90 = 316.78 : x
  2. Step 2: Convert to fraction form
    706.46/1,059.90 = 316.78/x
  3. Step 3: Cross multiply
    706.46x = 1,059.90 × 316.78
  4. Step 4: Simplify right side
    706.46x = 335,755.12
  5. Step 5: Solve for x
    x = 335,755.12/706.46
  6. Step 6: Final answer
    x = 475.26

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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.