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Finding the Fourth Proportional to 1,493.43, 2,239.43 and 453.25

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Solution

The fourth proportional to 1,493.43, 2,239.43 and 453.25 is: 679.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.43 : 2,239.43 = 453.25 : x
  2. Step 2: Convert to fraction form
    1,493.43/2,239.43 = 453.25/x
  3. Step 3: Cross multiply
    1,493.43x = 2,239.43 × 453.25
  4. Step 4: Simplify right side
    1,493.43x = 1,015,013.78
  5. Step 5: Solve for x
    x = 1,015,013.78/1,493.43
  6. Step 6: Final answer
    x = 679.65

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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.