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Finding the Fourth Proportional to 725.06, 1,000.22 and 459.06

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Solution

The fourth proportional to 725.06, 1,000.22 and 459.06 is: 633.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.06 : 1,000.22 = 459.06 : x
  2. Step 2: Convert to fraction form
    725.06/1,000.22 = 459.06/x
  3. Step 3: Cross multiply
    725.06x = 1,000.22 × 459.06
  4. Step 4: Simplify right side
    725.06x = 459,154.84
  5. Step 5: Solve for x
    x = 459,154.84/725.06
  6. Step 6: Final answer
    x = 633.26

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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.