Home / 1,548.24-2,322.33-378.25

Finding the Fourth Proportional to 1,548.24, 2,322.33 and 378.25

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Solution

The fourth proportional to 1,548.24, 2,322.33 and 378.25 is: 567.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.24 : 2,322.33 = 378.25 : x
  2. Step 2: Convert to fraction form
    1,548.24/2,322.33 = 378.25/x
  3. Step 3: Cross multiply
    1,548.24x = 2,322.33 × 378.25
  4. Step 4: Simplify right side
    1,548.24x = 878,421.32
  5. Step 5: Solve for x
    x = 878,421.32/1,548.24
  6. Step 6: Final answer
    x = 567.37

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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.