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Finding the Fourth Proportional to 771.65, 1,064.89 and 422.34

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Solution

The fourth proportional to 771.65, 1,064.89 and 422.34 is: 582.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.65 : 1,064.89 = 422.34 : x
  2. Step 2: Convert to fraction form
    771.65/1,064.89 = 422.34/x
  3. Step 3: Cross multiply
    771.65x = 1,064.89 × 422.34
  4. Step 4: Simplify right side
    771.65x = 449,745.64
  5. Step 5: Solve for x
    x = 449,745.64/771.65
  6. Step 6: Final answer
    x = 582.84

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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.