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Finding the Fourth Proportional to 728.40, 1,004.60 and 667.66

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Solution

The fourth proportional to 728.40, 1,004.60 and 667.66 is: 920.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.40 : 1,004.60 = 667.66 : x
  2. Step 2: Convert to fraction form
    728.40/1,004.60 = 667.66/x
  3. Step 3: Cross multiply
    728.40x = 1,004.60 × 667.66
  4. Step 4: Simplify right side
    728.40x = 670,731.24
  5. Step 5: Solve for x
    x = 670,731.24/728.40
  6. Step 6: Final answer
    x = 920.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.