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Finding the Fourth Proportional to 725.22, 1,085.06 and 656.89

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Solution

The fourth proportional to 725.22, 1,085.06 and 656.89 is: 982.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.22 : 1,085.06 = 656.89 : x
  2. Step 2: Convert to fraction form
    725.22/1,085.06 = 656.89/x
  3. Step 3: Cross multiply
    725.22x = 1,085.06 × 656.89
  4. Step 4: Simplify right side
    725.22x = 712,763.99
  5. Step 5: Solve for x
    x = 712,763.99/725.22
  6. Step 6: Final answer
    x = 982.82

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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.