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Finding the Fourth Proportional to 773.05, 1,158.09 and 447.43

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Solution

The fourth proportional to 773.05, 1,158.09 and 447.43 is: 670.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.05 : 1,158.09 = 447.43 : x
  2. Step 2: Convert to fraction form
    773.05/1,158.09 = 447.43/x
  3. Step 3: Cross multiply
    773.05x = 1,158.09 × 447.43
  4. Step 4: Simplify right side
    773.05x = 518,164.21
  5. Step 5: Solve for x
    x = 518,164.21/773.05
  6. Step 6: Final answer
    x = 670.29

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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.