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Finding the Fourth Proportional to 941.98, 1,413.87 and 577.48

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Solution

The fourth proportional to 941.98, 1,413.87 and 577.48 is: 866.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.98 : 1,413.87 = 577.48 : x
  2. Step 2: Convert to fraction form
    941.98/1,413.87 = 577.48/x
  3. Step 3: Cross multiply
    941.98x = 1,413.87 × 577.48
  4. Step 4: Simplify right side
    941.98x = 816,481.65
  5. Step 5: Solve for x
    x = 816,481.65/941.98
  6. Step 6: Final answer
    x = 866.77

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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.