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Finding the Fourth Proportional to 728.58, 1,092.33 and 403.86

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Solution

The fourth proportional to 728.58, 1,092.33 and 403.86 is: 605.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.58 : 1,092.33 = 403.86 : x
  2. Step 2: Convert to fraction form
    728.58/1,092.33 = 403.86/x
  3. Step 3: Cross multiply
    728.58x = 1,092.33 × 403.86
  4. Step 4: Simplify right side
    728.58x = 441,148.39
  5. Step 5: Solve for x
    x = 441,148.39/728.58
  6. Step 6: Final answer
    x = 605.49

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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.