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Finding the Fourth Proportional to 771.40, 1,064.57 and 422.09

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Solution

The fourth proportional to 771.40, 1,064.57 and 422.09 is: 582.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.40 : 1,064.57 = 422.09 : x
  2. Step 2: Convert to fraction form
    771.40/1,064.57 = 422.09/x
  3. Step 3: Cross multiply
    771.40x = 1,064.57 × 422.09
  4. Step 4: Simplify right side
    771.40x = 449,339.10
  5. Step 5: Solve for x
    x = 449,339.10/771.40
  6. Step 6: Final answer
    x = 582.50

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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.