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Finding the Fourth Proportional to 1,540.73, 2,309.73 and 566.61

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Solution

The fourth proportional to 1,540.73, 2,309.73 and 566.61 is: 849.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.73 : 2,309.73 = 566.61 : x
  2. Step 2: Convert to fraction form
    1,540.73/2,309.73 = 566.61/x
  3. Step 3: Cross multiply
    1,540.73x = 2,309.73 × 566.61
  4. Step 4: Simplify right side
    1,540.73x = 1,308,716.12
  5. Step 5: Solve for x
    x = 1,308,716.12/1,540.73
  6. Step 6: Final answer
    x = 849.41

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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.