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Finding the Fourth Proportional to 512.26, 706.94 and 315.63

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Solution

The fourth proportional to 512.26, 706.94 and 315.63 is: 435.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.26 : 706.94 = 315.63 : x
  2. Step 2: Convert to fraction form
    512.26/706.94 = 315.63/x
  3. Step 3: Cross multiply
    512.26x = 706.94 × 315.63
  4. Step 4: Simplify right side
    512.26x = 223,131.47
  5. Step 5: Solve for x
    x = 223,131.47/512.26
  6. Step 6: Final answer
    x = 435.58

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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.