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Finding the Fourth Proportional to 838.45, 1,254.96 and 447.47

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Solution

The fourth proportional to 838.45, 1,254.96 and 447.47 is: 669.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.45 : 1,254.96 = 447.47 : x
  2. Step 2: Convert to fraction form
    838.45/1,254.96 = 447.47/x
  3. Step 3: Cross multiply
    838.45x = 1,254.96 × 447.47
  4. Step 4: Simplify right side
    838.45x = 561,562.44
  5. Step 5: Solve for x
    x = 561,562.44/838.45
  6. Step 6: Final answer
    x = 669.76

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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.