Home / 1,540.21-2,310.31-385.96

Finding the Fourth Proportional to 1,540.21, 2,310.31 and 385.96

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Solution

The fourth proportional to 1,540.21, 2,310.31 and 385.96 is: 578.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.21 : 2,310.31 = 385.96 : x
  2. Step 2: Convert to fraction form
    1,540.21/2,310.31 = 385.96/x
  3. Step 3: Cross multiply
    1,540.21x = 2,310.31 × 385.96
  4. Step 4: Simplify right side
    1,540.21x = 891,685.32
  5. Step 5: Solve for x
    x = 891,685.32/1,540.21
  6. Step 6: Final answer
    x = 578.94

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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.