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Finding the Fourth Proportional to 725.14, 999.59 and 445.16

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Solution

The fourth proportional to 725.14, 999.59 and 445.16 is: 613.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.14 : 999.59 = 445.16 : x
  2. Step 2: Convert to fraction form
    725.14/999.59 = 445.16/x
  3. Step 3: Cross multiply
    725.14x = 999.59 × 445.16
  4. Step 4: Simplify right side
    725.14x = 444,973.60
  5. Step 5: Solve for x
    x = 444,973.60/725.14
  6. Step 6: Final answer
    x = 613.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.