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Finding the Fourth Proportional to 725.36, 1,087.27 and 432.84

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Solution

The fourth proportional to 725.36, 1,087.27 and 432.84 is: 648.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.36 : 1,087.27 = 432.84 : x
  2. Step 2: Convert to fraction form
    725.36/1,087.27 = 432.84/x
  3. Step 3: Cross multiply
    725.36x = 1,087.27 × 432.84
  4. Step 4: Simplify right side
    725.36x = 470,619.38
  5. Step 5: Solve for x
    x = 470,619.38/725.36
  6. Step 6: Final answer
    x = 648.81

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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.