Home / 1,540.41-2,310.13-566.38

Finding the Fourth Proportional to 1,540.41, 2,310.13 and 566.38

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Solution

The fourth proportional to 1,540.41, 2,310.13 and 566.38 is: 849.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.41 : 2,310.13 = 566.38 : x
  2. Step 2: Convert to fraction form
    1,540.41/2,310.13 = 566.38/x
  3. Step 3: Cross multiply
    1,540.41x = 2,310.13 × 566.38
  4. Step 4: Simplify right side
    1,540.41x = 1,308,411.43
  5. Step 5: Solve for x
    x = 1,308,411.43/1,540.41
  6. Step 6: Final answer
    x = 849.39

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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.