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Finding the Fourth Proportional to 1,548.63, 2,322.72 and 453.11

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Solution

The fourth proportional to 1,548.63, 2,322.72 and 453.11 is: 679.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.63 : 2,322.72 = 453.11 : x
  2. Step 2: Convert to fraction form
    1,548.63/2,322.72 = 453.11/x
  3. Step 3: Cross multiply
    1,548.63x = 2,322.72 × 453.11
  4. Step 4: Simplify right side
    1,548.63x = 1,052,436.05
  5. Step 5: Solve for x
    x = 1,052,436.05/1,548.63
  6. Step 6: Final answer
    x = 679.59

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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.