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Finding the Fourth Proportional to 771.66, 1,064.91 and 422.35

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Solution

The fourth proportional to 771.66, 1,064.91 and 422.35 is: 582.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.66 : 1,064.91 = 422.35 : x
  2. Step 2: Convert to fraction form
    771.66/1,064.91 = 422.35/x
  3. Step 3: Cross multiply
    771.66x = 1,064.91 × 422.35
  4. Step 4: Simplify right side
    771.66x = 449,764.74
  5. Step 5: Solve for x
    x = 449,764.74/771.66
  6. Step 6: Final answer
    x = 582.85

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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.