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Finding the Fourth Proportional to 839.33, 1,257.97 and 376.64

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Solution

The fourth proportional to 839.33, 1,257.97 and 376.64 is: 564.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.33 : 1,257.97 = 376.64 : x
  2. Step 2: Convert to fraction form
    839.33/1,257.97 = 376.64/x
  3. Step 3: Cross multiply
    839.33x = 1,257.97 × 376.64
  4. Step 4: Simplify right side
    839.33x = 473,804.02
  5. Step 5: Solve for x
    x = 473,804.02/839.33
  6. Step 6: Final answer
    x = 564.51

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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.