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Finding the Fourth Proportional to 728.33, 1,090.33 and 656.33

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Solution

The fourth proportional to 728.33, 1,090.33 and 656.33 is: 982.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.33 : 1,090.33 = 656.33 : x
  2. Step 2: Convert to fraction form
    728.33/1,090.33 = 656.33/x
  3. Step 3: Cross multiply
    728.33x = 1,090.33 × 656.33
  4. Step 4: Simplify right side
    728.33x = 715,609.20
  5. Step 5: Solve for x
    x = 715,609.20/728.33
  6. Step 6: Final answer
    x = 982.54

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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.