Home / 1,464.90-2,197.24-540.29

Finding the Fourth Proportional to 1,464.90, 2,197.24 and 540.29

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Solution

The fourth proportional to 1,464.90, 2,197.24 and 540.29 is: 810.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.90 : 2,197.24 = 540.29 : x
  2. Step 2: Convert to fraction form
    1,464.90/2,197.24 = 540.29/x
  3. Step 3: Cross multiply
    1,464.90x = 2,197.24 × 540.29
  4. Step 4: Simplify right side
    1,464.90x = 1,187,141.62
  5. Step 5: Solve for x
    x = 1,187,141.62/1,464.90
  6. Step 6: Final answer
    x = 810.39

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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.