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Finding the Fourth Proportional to 771.50, 1,064.67 and 422.19

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Solution

The fourth proportional to 771.50, 1,064.67 and 422.19 is: 582.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.50 : 1,064.67 = 422.19 : x
  2. Step 2: Convert to fraction form
    771.50/1,064.67 = 422.19/x
  3. Step 3: Cross multiply
    771.50x = 1,064.67 × 422.19
  4. Step 4: Simplify right side
    771.50x = 449,493.03
  5. Step 5: Solve for x
    x = 449,493.03/771.50
  6. Step 6: Final answer
    x = 582.62

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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.