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Finding the Fourth Proportional to 829.28, 1,244.64 and 444.80

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Solution

The fourth proportional to 829.28, 1,244.64 and 444.80 is: 667.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.28 : 1,244.64 = 444.80 : x
  2. Step 2: Convert to fraction form
    829.28/1,244.64 = 444.80/x
  3. Step 3: Cross multiply
    829.28x = 1,244.64 × 444.80
  4. Step 4: Simplify right side
    829.28x = 553,615.87
  5. Step 5: Solve for x
    x = 553,615.87/829.28
  6. Step 6: Final answer
    x = 667.59

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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.