Home / 1,540.23-2,310.51-566.33

Finding the Fourth Proportional to 1,540.23, 2,310.51 and 566.33

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Solution

The fourth proportional to 1,540.23, 2,310.51 and 566.33 is: 849.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.23 : 2,310.51 = 566.33 : x
  2. Step 2: Convert to fraction form
    1,540.23/2,310.51 = 566.33/x
  3. Step 3: Cross multiply
    1,540.23x = 2,310.51 × 566.33
  4. Step 4: Simplify right side
    1,540.23x = 1,308,511.13
  5. Step 5: Solve for x
    x = 1,308,511.13/1,540.23
  6. Step 6: Final answer
    x = 849.56

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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.