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Finding the Fourth Proportional to 1,186.83, 1,638.33 and 789.51

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Solution

The fourth proportional to 1,186.83, 1,638.33 and 789.51 is: 1,089.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.83 : 1,638.33 = 789.51 : x
  2. Step 2: Convert to fraction form
    1,186.83/1,638.33 = 789.51/x
  3. Step 3: Cross multiply
    1,186.83x = 1,638.33 × 789.51
  4. Step 4: Simplify right side
    1,186.83x = 1,293,477.92
  5. Step 5: Solve for x
    x = 1,293,477.92/1,186.83
  6. Step 6: Final answer
    x = 1,089.86

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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.