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Finding the Fourth Proportional to 490.04, 725.89 and 484.58

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Solution

The fourth proportional to 490.04, 725.89 and 484.58 is: 717.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.04 : 725.89 = 484.58 : x
  2. Step 2: Convert to fraction form
    490.04/725.89 = 484.58/x
  3. Step 3: Cross multiply
    490.04x = 725.89 × 484.58
  4. Step 4: Simplify right side
    490.04x = 351,751.78
  5. Step 5: Solve for x
    x = 351,751.78/490.04
  6. Step 6: Final answer
    x = 717.80

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.