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Finding the Fourth Proportional to 771.74, 1,065 and 422.43

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Solution

The fourth proportional to 771.74, 1,065 and 422.43 is: 582.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.74 : 1,065 = 422.43 : x
  2. Step 2: Convert to fraction form
    771.74/1,065 = 422.43/x
  3. Step 3: Cross multiply
    771.74x = 1,065 × 422.43
  4. Step 4: Simplify right side
    771.74x = 449,887.95
  5. Step 5: Solve for x
    x = 449,887.95/771.74
  6. Step 6: Final answer
    x = 582.96

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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.