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Finding the Fourth Proportional to 728.12, 1,004.78 and 413.38

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Solution

The fourth proportional to 728.12, 1,004.78 and 413.38 is: 570.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.12 : 1,004.78 = 413.38 : x
  2. Step 2: Convert to fraction form
    728.12/1,004.78 = 413.38/x
  3. Step 3: Cross multiply
    728.12x = 1,004.78 × 413.38
  4. Step 4: Simplify right side
    728.12x = 415,350.93
  5. Step 5: Solve for x
    x = 415,350.93/728.12
  6. Step 6: Final answer
    x = 570.44

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Why These Related Problems?

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