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Finding the Fourth Proportional to 829.64, 1,244.12 and 361.15

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Solution

The fourth proportional to 829.64, 1,244.12 and 361.15 is: 541.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.64 : 1,244.12 = 361.15 : x
  2. Step 2: Convert to fraction form
    829.64/1,244.12 = 361.15/x
  3. Step 3: Cross multiply
    829.64x = 1,244.12 × 361.15
  4. Step 4: Simplify right side
    829.64x = 449,308.62
  5. Step 5: Solve for x
    x = 449,308.62/829.64
  6. Step 6: Final answer
    x = 541.57

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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.