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Finding the Fourth Proportional to 640.36, 884.36 and 571.64

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Solution

The fourth proportional to 640.36, 884.36 and 571.64 is: 789.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.36 : 884.36 = 571.64 : x
  2. Step 2: Convert to fraction form
    640.36/884.36 = 571.64/x
  3. Step 3: Cross multiply
    640.36x = 884.36 × 571.64
  4. Step 4: Simplify right side
    640.36x = 505,535.55
  5. Step 5: Solve for x
    x = 505,535.55/640.36
  6. Step 6: Final answer
    x = 789.46

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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.