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Finding the Fourth Proportional to 627.26, 865.41 and 406.49

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Solution

The fourth proportional to 627.26, 865.41 and 406.49 is: 560.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.26 : 865.41 = 406.49 : x
  2. Step 2: Convert to fraction form
    627.26/865.41 = 406.49/x
  3. Step 3: Cross multiply
    627.26x = 865.41 × 406.49
  4. Step 4: Simplify right side
    627.26x = 351,780.51
  5. Step 5: Solve for x
    x = 351,780.51/627.26
  6. Step 6: Final answer
    x = 560.82

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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.