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Finding the Fourth Proportional to 1,232.09, 1,699.61 and 789.49

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Solution

The fourth proportional to 1,232.09, 1,699.61 and 789.49 is: 1,089.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.09 : 1,699.61 = 789.49 : x
  2. Step 2: Convert to fraction form
    1,232.09/1,699.61 = 789.49/x
  3. Step 3: Cross multiply
    1,232.09x = 1,699.61 × 789.49
  4. Step 4: Simplify right side
    1,232.09x = 1,341,816.90
  5. Step 5: Solve for x
    x = 1,341,816.90/1,232.09
  6. Step 6: Final answer
    x = 1,089.06

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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.