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Finding the Fourth Proportional to 771.23, 1,064.39 and 439.64

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Solution

The fourth proportional to 771.23, 1,064.39 and 439.64 is: 606.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.23 : 1,064.39 = 439.64 : x
  2. Step 2: Convert to fraction form
    771.23/1,064.39 = 439.64/x
  3. Step 3: Cross multiply
    771.23x = 1,064.39 × 439.64
  4. Step 4: Simplify right side
    771.23x = 467,940.90
  5. Step 5: Solve for x
    x = 467,940.90/771.23
  6. Step 6: Final answer
    x = 606.75

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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.