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Finding the Fourth Proportional to 744.95, 1,028.01 and 413.38

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Solution

The fourth proportional to 744.95, 1,028.01 and 413.38 is: 570.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.95 : 1,028.01 = 413.38 : x
  2. Step 2: Convert to fraction form
    744.95/1,028.01 = 413.38/x
  3. Step 3: Cross multiply
    744.95x = 1,028.01 × 413.38
  4. Step 4: Simplify right side
    744.95x = 424,958.77
  5. Step 5: Solve for x
    x = 424,958.77/744.95
  6. Step 6: Final answer
    x = 570.45

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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.