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Finding the Fourth Proportional to 627.87, 866.63 and 406.83

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Solution

The fourth proportional to 627.87, 866.63 and 406.83 is: 561.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.87 : 866.63 = 406.83 : x
  2. Step 2: Convert to fraction form
    627.87/866.63 = 406.83/x
  3. Step 3: Cross multiply
    627.87x = 866.63 × 406.83
  4. Step 4: Simplify right side
    627.87x = 352,569.05
  5. Step 5: Solve for x
    x = 352,569.05/627.87
  6. Step 6: Final answer
    x = 561.53

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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.