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Finding the Fourth Proportional to 859.26, 1,185.92 and 806.49

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Solution

The fourth proportional to 859.26, 1,185.92 and 806.49 is: 1,113.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.26 : 1,185.92 = 806.49 : x
  2. Step 2: Convert to fraction form
    859.26/1,185.92 = 806.49/x
  3. Step 3: Cross multiply
    859.26x = 1,185.92 × 806.49
  4. Step 4: Simplify right side
    859.26x = 956,428.59
  5. Step 5: Solve for x
    x = 956,428.59/859.26
  6. Step 6: Final answer
    x = 1,113.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.