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Finding the Fourth Proportional to 1,760.13, 2,640.29 and 605.97

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Solution

The fourth proportional to 1,760.13, 2,640.29 and 605.97 is: 908.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.13 : 2,640.29 = 605.97 : x
  2. Step 2: Convert to fraction form
    1,760.13/2,640.29 = 605.97/x
  3. Step 3: Cross multiply
    1,760.13x = 2,640.29 × 605.97
  4. Step 4: Simplify right side
    1,760.13x = 1,599,933.50
  5. Step 5: Solve for x
    x = 1,599,933.50/1,760.13
  6. Step 6: Final answer
    x = 908.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.