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Finding the Fourth Proportional to 857.25, 1,187.89 and 805.23

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Solution

The fourth proportional to 857.25, 1,187.89 and 805.23 is: 1,115.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.25 : 1,187.89 = 805.23 : x
  2. Step 2: Convert to fraction form
    857.25/1,187.89 = 805.23/x
  3. Step 3: Cross multiply
    857.25x = 1,187.89 × 805.23
  4. Step 4: Simplify right side
    857.25x = 956,524.66
  5. Step 5: Solve for x
    x = 956,524.66/857.25
  6. Step 6: Final answer
    x = 1,115.81

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.