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Finding the Fourth Proportional to 744.97, 1,028.11 and 413.49

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Solution

The fourth proportional to 744.97, 1,028.11 and 413.49 is: 570.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.97 : 1,028.11 = 413.49 : x
  2. Step 2: Convert to fraction form
    744.97/1,028.11 = 413.49/x
  3. Step 3: Cross multiply
    744.97x = 1,028.11 × 413.49
  4. Step 4: Simplify right side
    744.97x = 425,113.20
  5. Step 5: Solve for x
    x = 425,113.20/744.97
  6. Step 6: Final answer
    x = 570.64

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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.