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Finding the Fourth Proportional to 771.37, 1,064.49 and 422.05

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Solution

The fourth proportional to 771.37, 1,064.49 and 422.05 is: 582.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.37 : 1,064.49 = 422.05 : x
  2. Step 2: Convert to fraction form
    771.37/1,064.49 = 422.05/x
  3. Step 3: Cross multiply
    771.37x = 1,064.49 × 422.05
  4. Step 4: Simplify right side
    771.37x = 449,268.00
  5. Step 5: Solve for x
    x = 449,268.00/771.37
  6. Step 6: Final answer
    x = 582.43

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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.