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Finding the Fourth Proportional to 839, 1,258.33 and 617.56

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Solution

The fourth proportional to 839, 1,258.33 and 617.56 is: 926.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    839 : 1,258.33 = 617.56 : x
  2. Step 2: Convert to fraction form
    839/1,258.33 = 617.56/x
  3. Step 3: Cross multiply
    839x = 1,258.33 × 617.56
  4. Step 4: Simplify right side
    839x = 777,094.27
  5. Step 5: Solve for x
    x = 777,094.27/839
  6. Step 6: Final answer
    x = 926.21

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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.