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Finding the Fourth Proportional to 921.98, 1,379.30 and 768.22

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Solution

The fourth proportional to 921.98, 1,379.30 and 768.22 is: 1,149.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.98 : 1,379.30 = 768.22 : x
  2. Step 2: Convert to fraction form
    921.98/1,379.30 = 768.22/x
  3. Step 3: Cross multiply
    921.98x = 1,379.30 × 768.22
  4. Step 4: Simplify right side
    921.98x = 1,059,598.56
  5. Step 5: Solve for x
    x = 1,059,598.56/921.98
  6. Step 6: Final answer
    x = 1,149.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.