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Finding the Fourth Proportional to 942.69, 1,413.99 and 454.26

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Solution

The fourth proportional to 942.69, 1,413.99 and 454.26 is: 681.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.69 : 1,413.99 = 454.26 : x
  2. Step 2: Convert to fraction form
    942.69/1,413.99 = 454.26/x
  3. Step 3: Cross multiply
    942.69x = 1,413.99 × 454.26
  4. Step 4: Simplify right side
    942.69x = 642,319.10
  5. Step 5: Solve for x
    x = 642,319.10/942.69
  6. Step 6: Final answer
    x = 681.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.