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Finding the Fourth Proportional to 1,229.43, 1,844.42 and 579.81

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Solution

The fourth proportional to 1,229.43, 1,844.42 and 579.81 is: 869.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.43 : 1,844.42 = 579.81 : x
  2. Step 2: Convert to fraction form
    1,229.43/1,844.42 = 579.81/x
  3. Step 3: Cross multiply
    1,229.43x = 1,844.42 × 579.81
  4. Step 4: Simplify right side
    1,229.43x = 1,069,413.16
  5. Step 5: Solve for x
    x = 1,069,413.16/1,229.43
  6. Step 6: Final answer
    x = 869.84

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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.