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Finding the Fourth Proportional to 942.77, 1,413.24 and 480.77

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Solution

The fourth proportional to 942.77, 1,413.24 and 480.77 is: 720.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.77 : 1,413.24 = 480.77 : x
  2. Step 2: Convert to fraction form
    942.77/1,413.24 = 480.77/x
  3. Step 3: Cross multiply
    942.77x = 1,413.24 × 480.77
  4. Step 4: Simplify right side
    942.77x = 679,436.33
  5. Step 5: Solve for x
    x = 679,436.33/942.77
  6. Step 6: Final answer
    x = 720.68

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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.