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Finding the Fourth Proportional to 839.34, 1,256.09 and 664.47

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Solution

The fourth proportional to 839.34, 1,256.09 and 664.47 is: 994.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.34 : 1,256.09 = 664.47 : x
  2. Step 2: Convert to fraction form
    839.34/1,256.09 = 664.47/x
  3. Step 3: Cross multiply
    839.34x = 1,256.09 × 664.47
  4. Step 4: Simplify right side
    839.34x = 834,630.80
  5. Step 5: Solve for x
    x = 834,630.80/839.34
  6. Step 6: Final answer
    x = 994.39

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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.