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Finding the Fourth Proportional to 755.96, 1,131.20 and 447.96

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Solution

The fourth proportional to 755.96, 1,131.20 and 447.96 is: 670.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.96 : 1,131.20 = 447.96 : x
  2. Step 2: Convert to fraction form
    755.96/1,131.20 = 447.96/x
  3. Step 3: Cross multiply
    755.96x = 1,131.20 × 447.96
  4. Step 4: Simplify right side
    755.96x = 506,732.35
  5. Step 5: Solve for x
    x = 506,732.35/755.96
  6. Step 6: Final answer
    x = 670.32

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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.