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Finding the Fourth Proportional to 729.67, 1,100 and 682.69

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Solution

The fourth proportional to 729.67, 1,100 and 682.69 is: 1,029.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.67 : 1,100 = 682.69 : x
  2. Step 2: Convert to fraction form
    729.67/1,100 = 682.69/x
  3. Step 3: Cross multiply
    729.67x = 1,100 × 682.69
  4. Step 4: Simplify right side
    729.67x = 750,953.50
  5. Step 5: Solve for x
    x = 750,953.50/729.67
  6. Step 6: Final answer
    x = 1,029.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.