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Finding the Fourth Proportional to 512.44, 706.78 and 315.88

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Solution

The fourth proportional to 512.44, 706.78 and 315.88 is: 435.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.44 : 706.78 = 315.88 : x
  2. Step 2: Convert to fraction form
    512.44/706.78 = 315.88/x
  3. Step 3: Cross multiply
    512.44x = 706.78 × 315.88
  4. Step 4: Simplify right side
    512.44x = 223,257.67
  5. Step 5: Solve for x
    x = 223,257.67/512.44
  6. Step 6: Final answer
    x = 435.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.