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Finding the Fourth Proportional to 626.37, 863.64 and 416.31

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Solution

The fourth proportional to 626.37, 863.64 and 416.31 is: 574.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.37 : 863.64 = 416.31 : x
  2. Step 2: Convert to fraction form
    626.37/863.64 = 416.31/x
  3. Step 3: Cross multiply
    626.37x = 863.64 × 416.31
  4. Step 4: Simplify right side
    626.37x = 359,541.97
  5. Step 5: Solve for x
    x = 359,541.97/626.37
  6. Step 6: Final answer
    x = 574.01

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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.