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Finding the Fourth Proportional to 771.70, 1,064.97 and 422.38

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Solution

The fourth proportional to 771.70, 1,064.97 and 422.38 is: 582.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.70 : 1,064.97 = 422.38 : x
  2. Step 2: Convert to fraction form
    771.70/1,064.97 = 422.38/x
  3. Step 3: Cross multiply
    771.70x = 1,064.97 × 422.38
  4. Step 4: Simplify right side
    771.70x = 449,824.44
  5. Step 5: Solve for x
    x = 449,824.44/771.70
  6. Step 6: Final answer
    x = 582.90

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1.5x scale

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.