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Finding the Fourth Proportional to 725.42, 1,089.23 and 453.23

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Solution

The fourth proportional to 725.42, 1,089.23 and 453.23 is: 680.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.42 : 1,089.23 = 453.23 : x
  2. Step 2: Convert to fraction form
    725.42/1,089.23 = 453.23/x
  3. Step 3: Cross multiply
    725.42x = 1,089.23 × 453.23
  4. Step 4: Simplify right side
    725.42x = 493,667.40
  5. Step 5: Solve for x
    x = 493,667.40/725.42
  6. Step 6: Final answer
    x = 680.52

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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.