Home / 1,540.28-2,311.34-567.06

Finding the Fourth Proportional to 1,540.28, 2,311.34 and 567.06

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Solution

The fourth proportional to 1,540.28, 2,311.34 and 567.06 is: 850.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.28 : 2,311.34 = 567.06 : x
  2. Step 2: Convert to fraction form
    1,540.28/2,311.34 = 567.06/x
  3. Step 3: Cross multiply
    1,540.28x = 2,311.34 × 567.06
  4. Step 4: Simplify right side
    1,540.28x = 1,310,665.63
  5. Step 5: Solve for x
    x = 1,310,665.63/1,540.28
  6. Step 6: Final answer
    x = 850.93

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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.