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Finding the Fourth Proportional to 891, 1,228.23 and 765.99

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Solution

The fourth proportional to 891, 1,228.23 and 765.99 is: 1,055.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    891 : 1,228.23 = 765.99 : x
  2. Step 2: Convert to fraction form
    891/1,228.23 = 765.99/x
  3. Step 3: Cross multiply
    891x = 1,228.23 × 765.99
  4. Step 4: Simplify right side
    891x = 940,811.90
  5. Step 5: Solve for x
    x = 940,811.90/891
  6. Step 6: Final answer
    x = 1,055.91

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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.