Home / 1,542.24-2,311.97-567.66

Finding the Fourth Proportional to 1,542.24, 2,311.97 and 567.66

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Solution

The fourth proportional to 1,542.24, 2,311.97 and 567.66 is: 850.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.24 : 2,311.97 = 567.66 : x
  2. Step 2: Convert to fraction form
    1,542.24/2,311.97 = 567.66/x
  3. Step 3: Cross multiply
    1,542.24x = 2,311.97 × 567.66
  4. Step 4: Simplify right side
    1,542.24x = 1,312,410.05
  5. Step 5: Solve for x
    x = 1,312,410.05/1,542.24
  6. Step 6: Final answer
    x = 850.98

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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.