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Finding the Fourth Proportional to 942.13, 1,413.33 and 480.21

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Solution

The fourth proportional to 942.13, 1,413.33 and 480.21 is: 720.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.13 : 1,413.33 = 480.21 : x
  2. Step 2: Convert to fraction form
    942.13/1,413.33 = 480.21/x
  3. Step 3: Cross multiply
    942.13x = 1,413.33 × 480.21
  4. Step 4: Simplify right side
    942.13x = 678,695.20
  5. Step 5: Solve for x
    x = 678,695.20/942.13
  6. Step 6: Final answer
    x = 720.38

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Why These Related Problems?

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