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Finding the Fourth Proportional to 471.26, 648.78 and 412.94

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Solution

The fourth proportional to 471.26, 648.78 and 412.94 is: 568.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.26 : 648.78 = 412.94 : x
  2. Step 2: Convert to fraction form
    471.26/648.78 = 412.94/x
  3. Step 3: Cross multiply
    471.26x = 648.78 × 412.94
  4. Step 4: Simplify right side
    471.26x = 267,907.21
  5. Step 5: Solve for x
    x = 267,907.21/471.26
  6. Step 6: Final answer
    x = 568.49

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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.