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Finding the Fourth Proportional to 838.35, 1,257.09 and 491.79

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Solution

The fourth proportional to 838.35, 1,257.09 and 491.79 is: 737.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.35 : 1,257.09 = 491.79 : x
  2. Step 2: Convert to fraction form
    838.35/1,257.09 = 491.79/x
  3. Step 3: Cross multiply
    838.35x = 1,257.09 × 491.79
  4. Step 4: Simplify right side
    838.35x = 618,224.29
  5. Step 5: Solve for x
    x = 618,224.29/838.35
  6. Step 6: Final answer
    x = 737.43

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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.