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Finding the Fourth Proportional to 728.22, 1,090.26 and 419.52

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Solution

The fourth proportional to 728.22, 1,090.26 and 419.52 is: 628.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.22 : 1,090.26 = 419.52 : x
  2. Step 2: Convert to fraction form
    728.22/1,090.26 = 419.52/x
  3. Step 3: Cross multiply
    728.22x = 1,090.26 × 419.52
  4. Step 4: Simplify right side
    728.22x = 457,385.88
  5. Step 5: Solve for x
    x = 457,385.88/728.22
  6. Step 6: Final answer
    x = 628.09

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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.