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Finding the Fourth Proportional to 745.18, 1,028.36 and 413.60

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Solution

The fourth proportional to 745.18, 1,028.36 and 413.60 is: 570.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.18 : 1,028.36 = 413.60 : x
  2. Step 2: Convert to fraction form
    745.18/1,028.36 = 413.60/x
  3. Step 3: Cross multiply
    745.18x = 1,028.36 × 413.60
  4. Step 4: Simplify right side
    745.18x = 425,329.70
  5. Step 5: Solve for x
    x = 425,329.70/745.18
  6. Step 6: Final answer
    x = 570.77

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