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Finding the Fourth Proportional to 627.41, 865.86 and 406.55

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Solution

The fourth proportional to 627.41, 865.86 and 406.55 is: 561.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.41 : 865.86 = 406.55 : x
  2. Step 2: Convert to fraction form
    627.41/865.86 = 406.55/x
  3. Step 3: Cross multiply
    627.41x = 865.86 × 406.55
  4. Step 4: Simplify right side
    627.41x = 352,015.38
  5. Step 5: Solve for x
    x = 352,015.38/627.41
  6. Step 6: Final answer
    x = 561.06

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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.