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Finding the Fourth Proportional to 829.58, 1,244.81 and 367.82

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Solution

The fourth proportional to 829.58, 1,244.81 and 367.82 is: 551.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.58 : 1,244.81 = 367.82 : x
  2. Step 2: Convert to fraction form
    829.58/1,244.81 = 367.82/x
  3. Step 3: Cross multiply
    829.58x = 1,244.81 × 367.82
  4. Step 4: Simplify right side
    829.58x = 457,860.71
  5. Step 5: Solve for x
    x = 457,860.71/829.58
  6. Step 6: Final answer
    x = 551.92

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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.