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Finding the Fourth Proportional to 829.38, 1,244.13 and 418.29

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Solution

The fourth proportional to 829.38, 1,244.13 and 418.29 is: 627.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.38 : 1,244.13 = 418.29 : x
  2. Step 2: Convert to fraction form
    829.38/1,244.13 = 418.29/x
  3. Step 3: Cross multiply
    829.38x = 1,244.13 × 418.29
  4. Step 4: Simplify right side
    829.38x = 520,407.14
  5. Step 5: Solve for x
    x = 520,407.14/829.38
  6. Step 6: Final answer
    x = 627.47

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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.