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Finding the Fourth Proportional to 829.79, 1,244.96 and 396.89

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Solution

The fourth proportional to 829.79, 1,244.96 and 396.89 is: 595.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.79 : 1,244.96 = 396.89 : x
  2. Step 2: Convert to fraction form
    829.79/1,244.96 = 396.89/x
  3. Step 3: Cross multiply
    829.79x = 1,244.96 × 396.89
  4. Step 4: Simplify right side
    829.79x = 494,112.17
  5. Step 5: Solve for x
    x = 494,112.17/829.79
  6. Step 6: Final answer
    x = 595.47

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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.