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Finding the Fourth Proportional to 784.09, 1,083.09 and 728.74

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Solution

The fourth proportional to 784.09, 1,083.09 and 728.74 is: 1,006.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.09 : 1,083.09 = 728.74 : x
  2. Step 2: Convert to fraction form
    784.09/1,083.09 = 728.74/x
  3. Step 3: Cross multiply
    784.09x = 1,083.09 × 728.74
  4. Step 4: Simplify right side
    784.09x = 789,285.59
  5. Step 5: Solve for x
    x = 789,285.59/784.09
  6. Step 6: Final answer
    x = 1,006.63

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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.