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Finding the Fourth Proportional to 838.72, 1,257.93 and 447.49

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Solution

The fourth proportional to 838.72, 1,257.93 and 447.49 is: 671.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.72 : 1,257.93 = 447.49 : x
  2. Step 2: Convert to fraction form
    838.72/1,257.93 = 447.49/x
  3. Step 3: Cross multiply
    838.72x = 1,257.93 × 447.49
  4. Step 4: Simplify right side
    838.72x = 562,912.67
  5. Step 5: Solve for x
    x = 562,912.67/838.72
  6. Step 6: Final answer
    x = 671.16

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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.