Home / 1,540.11-2,309.69-566.30

Finding the Fourth Proportional to 1,540.11, 2,309.69 and 566.30

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Solution

The fourth proportional to 1,540.11, 2,309.69 and 566.30 is: 849.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.11 : 2,309.69 = 566.30 : x
  2. Step 2: Convert to fraction form
    1,540.11/2,309.69 = 566.30/x
  3. Step 3: Cross multiply
    1,540.11x = 2,309.69 × 566.30
  4. Step 4: Simplify right side
    1,540.11x = 1,307,963.07
  5. Step 5: Solve for x
    x = 1,307,963.07/1,540.11
  6. Step 6: Final answer
    x = 849.27

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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.