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Finding the Fourth Proportional to 725.94, 1,089.42 and 563.94

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Solution

The fourth proportional to 725.94, 1,089.42 and 563.94 is: 846.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.94 : 1,089.42 = 563.94 : x
  2. Step 2: Convert to fraction form
    725.94/1,089.42 = 563.94/x
  3. Step 3: Cross multiply
    725.94x = 1,089.42 × 563.94
  4. Step 4: Simplify right side
    725.94x = 614,367.51
  5. Step 5: Solve for x
    x = 614,367.51/725.94
  6. Step 6: Final answer
    x = 846.31

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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.