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Finding the Fourth Proportional to 843.13, 1,262.85 and 409.38

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Solution

The fourth proportional to 843.13, 1,262.85 and 409.38 is: 613.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.13 : 1,262.85 = 409.38 : x
  2. Step 2: Convert to fraction form
    843.13/1,262.85 = 409.38/x
  3. Step 3: Cross multiply
    843.13x = 1,262.85 × 409.38
  4. Step 4: Simplify right side
    843.13x = 516,979.22
  5. Step 5: Solve for x
    x = 516,979.22/843.13
  6. Step 6: Final answer
    x = 613.17

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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.