Home / 1,540.50-2,310.78-386.28

Finding the Fourth Proportional to 1,540.50, 2,310.78 and 386.28

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Solution

The fourth proportional to 1,540.50, 2,310.78 and 386.28 is: 579.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.50 : 2,310.78 = 386.28 : x
  2. Step 2: Convert to fraction form
    1,540.50/2,310.78 = 386.28/x
  3. Step 3: Cross multiply
    1,540.50x = 2,310.78 × 386.28
  4. Step 4: Simplify right side
    1,540.50x = 892,608.10
  5. Step 5: Solve for x
    x = 892,608.10/1,540.50
  6. Step 6: Final answer
    x = 579.43

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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.