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Finding the Fourth Proportional to 771.35, 1,063.23 and 609.39

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Solution

The fourth proportional to 771.35, 1,063.23 and 609.39 is: 839.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.35 : 1,063.23 = 609.39 : x
  2. Step 2: Convert to fraction form
    771.35/1,063.23 = 609.39/x
  3. Step 3: Cross multiply
    771.35x = 1,063.23 × 609.39
  4. Step 4: Simplify right side
    771.35x = 647,921.73
  5. Step 5: Solve for x
    x = 647,921.73/771.35
  6. Step 6: Final answer
    x = 839.99

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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.