Home / 1,548.26-2,322.87-508.27

Finding the Fourth Proportional to 1,548.26, 2,322.87 and 508.27

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Solution

The fourth proportional to 1,548.26, 2,322.87 and 508.27 is: 762.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.26 : 2,322.87 = 508.27 : x
  2. Step 2: Convert to fraction form
    1,548.26/2,322.87 = 508.27/x
  3. Step 3: Cross multiply
    1,548.26x = 2,322.87 × 508.27
  4. Step 4: Simplify right side
    1,548.26x = 1,180,642.59
  5. Step 5: Solve for x
    x = 1,180,642.59/1,548.26
  6. Step 6: Final answer
    x = 762.56

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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.