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Finding the Fourth Proportional to 728.60, 1,090.26 and 404.28

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Solution

The fourth proportional to 728.60, 1,090.26 and 404.28 is: 604.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.60 : 1,090.26 = 404.28 : x
  2. Step 2: Convert to fraction form
    728.60/1,090.26 = 404.28/x
  3. Step 3: Cross multiply
    728.60x = 1,090.26 × 404.28
  4. Step 4: Simplify right side
    728.60x = 440,770.31
  5. Step 5: Solve for x
    x = 440,770.31/728.60
  6. Step 6: Final answer
    x = 604.96

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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.