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Finding the Fourth Proportional to 1,161.59, 1,603.67 and 769.28

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Solution

The fourth proportional to 1,161.59, 1,603.67 and 769.28 is: 1,062.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.59 : 1,603.67 = 769.28 : x
  2. Step 2: Convert to fraction form
    1,161.59/1,603.67 = 769.28/x
  3. Step 3: Cross multiply
    1,161.59x = 1,603.67 × 769.28
  4. Step 4: Simplify right side
    1,161.59x = 1,233,659.39
  5. Step 5: Solve for x
    x = 1,233,659.39/1,161.59
  6. Step 6: Final answer
    x = 1,062.05

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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.