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Finding the Fourth Proportional to 944.01, 1,413.97 and 577.69

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Solution

The fourth proportional to 944.01, 1,413.97 and 577.69 is: 865.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.01 : 1,413.97 = 577.69 : x
  2. Step 2: Convert to fraction form
    944.01/1,413.97 = 577.69/x
  3. Step 3: Cross multiply
    944.01x = 1,413.97 × 577.69
  4. Step 4: Simplify right side
    944.01x = 816,833.44
  5. Step 5: Solve for x
    x = 816,833.44/944.01
  6. Step 6: Final answer
    x = 865.28

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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.