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Finding the Fourth Proportional to 728.73, 1,006.22 and 673.45

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Solution

The fourth proportional to 728.73, 1,006.22 and 673.45 is: 929.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.73 : 1,006.22 = 673.45 : x
  2. Step 2: Convert to fraction form
    728.73/1,006.22 = 673.45/x
  3. Step 3: Cross multiply
    728.73x = 1,006.22 × 673.45
  4. Step 4: Simplify right side
    728.73x = 677,638.03
  5. Step 5: Solve for x
    x = 677,638.03/728.73
  6. Step 6: Final answer
    x = 929.89

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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.