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Finding the Fourth Proportional to 635.81, 872.73 and 564.29

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Solution

The fourth proportional to 635.81, 872.73 and 564.29 is: 774.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.81 : 872.73 = 564.29 : x
  2. Step 2: Convert to fraction form
    635.81/872.73 = 564.29/x
  3. Step 3: Cross multiply
    635.81x = 872.73 × 564.29
  4. Step 4: Simplify right side
    635.81x = 492,468.45
  5. Step 5: Solve for x
    x = 492,468.45/635.81
  6. Step 6: Final answer
    x = 774.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.