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Finding the Fourth Proportional to 484.46, 728.04 and 289.49

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Solution

The fourth proportional to 484.46, 728.04 and 289.49 is: 435.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.46 : 728.04 = 289.49 : x
  2. Step 2: Convert to fraction form
    484.46/728.04 = 289.49/x
  3. Step 3: Cross multiply
    484.46x = 728.04 × 289.49
  4. Step 4: Simplify right side
    484.46x = 210,757.74
  5. Step 5: Solve for x
    x = 210,757.74/484.46
  6. Step 6: Final answer
    x = 435.04

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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.