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Finding the Fourth Proportional to 829.20, 1,144.12 and 479.84

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Solution

The fourth proportional to 829.20, 1,144.12 and 479.84 is: 662.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.20 : 1,144.12 = 479.84 : x
  2. Step 2: Convert to fraction form
    829.20/1,144.12 = 479.84/x
  3. Step 3: Cross multiply
    829.20x = 1,144.12 × 479.84
  4. Step 4: Simplify right side
    829.20x = 548,994.54
  5. Step 5: Solve for x
    x = 548,994.54/829.20
  6. Step 6: Final answer
    x = 662.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.