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Finding the Fourth Proportional to 725.90, 1,089.42 and 293.36

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Solution

The fourth proportional to 725.90, 1,089.42 and 293.36 is: 440.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.90 : 1,089.42 = 293.36 : x
  2. Step 2: Convert to fraction form
    725.90/1,089.42 = 293.36/x
  3. Step 3: Cross multiply
    725.90x = 1,089.42 × 293.36
  4. Step 4: Simplify right side
    725.90x = 319,592.25
  5. Step 5: Solve for x
    x = 319,592.25/725.90
  6. Step 6: Final answer
    x = 440.27

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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.