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Finding the Fourth Proportional to 839.82, 1,258.17 and 579.51

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Solution

The fourth proportional to 839.82, 1,258.17 and 579.51 is: 868.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.82 : 1,258.17 = 579.51 : x
  2. Step 2: Convert to fraction form
    839.82/1,258.17 = 579.51/x
  3. Step 3: Cross multiply
    839.82x = 1,258.17 × 579.51
  4. Step 4: Simplify right side
    839.82x = 729,122.10
  5. Step 5: Solve for x
    x = 729,122.10/839.82
  6. Step 6: Final answer
    x = 868.19

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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.