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Finding the Fourth Proportional to 829.60, 1,244.42 and 274.13

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Solution

The fourth proportional to 829.60, 1,244.42 and 274.13 is: 411.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.60 : 1,244.42 = 274.13 : x
  2. Step 2: Convert to fraction form
    829.60/1,244.42 = 274.13/x
  3. Step 3: Cross multiply
    829.60x = 1,244.42 × 274.13
  4. Step 4: Simplify right side
    829.60x = 341,132.85
  5. Step 5: Solve for x
    x = 341,132.85/829.60
  6. Step 6: Final answer
    x = 411.20

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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.