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Finding the Fourth Proportional to 627.49, 866.19 and 406.63

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Solution

The fourth proportional to 627.49, 866.19 and 406.63 is: 561.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.49 : 866.19 = 406.63 : x
  2. Step 2: Convert to fraction form
    627.49/866.19 = 406.63/x
  3. Step 3: Cross multiply
    627.49x = 866.19 × 406.63
  4. Step 4: Simplify right side
    627.49x = 352,218.84
  5. Step 5: Solve for x
    x = 352,218.84/627.49
  6. Step 6: Final answer
    x = 561.31

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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.