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Finding the Fourth Proportional to 829.14, 1,242.68 and 418.38

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Solution

The fourth proportional to 829.14, 1,242.68 and 418.38 is: 627.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.14 : 1,242.68 = 418.38 : x
  2. Step 2: Convert to fraction form
    829.14/1,242.68 = 418.38/x
  3. Step 3: Cross multiply
    829.14x = 1,242.68 × 418.38
  4. Step 4: Simplify right side
    829.14x = 519,910.37
  5. Step 5: Solve for x
    x = 519,910.37/829.14
  6. Step 6: Final answer
    x = 627.05

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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.