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Finding the Fourth Proportional to 627.54, 865.45 and 406.26

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Solution

The fourth proportional to 627.54, 865.45 and 406.26 is: 560.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.54 : 865.45 = 406.26 : x
  2. Step 2: Convert to fraction form
    627.54/865.45 = 406.26/x
  3. Step 3: Cross multiply
    627.54x = 865.45 × 406.26
  4. Step 4: Simplify right side
    627.54x = 351,597.72
  5. Step 5: Solve for x
    x = 351,597.72/627.54
  6. Step 6: Final answer
    x = 560.28

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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.