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Finding the Fourth Proportional to 488.85, 728.49 and 488.04

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Solution

The fourth proportional to 488.85, 728.49 and 488.04 is: 727.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.85 : 728.49 = 488.04 : x
  2. Step 2: Convert to fraction form
    488.85/728.49 = 488.04/x
  3. Step 3: Cross multiply
    488.85x = 728.49 × 488.04
  4. Step 4: Simplify right side
    488.85x = 355,532.26
  5. Step 5: Solve for x
    x = 355,532.26/488.85
  6. Step 6: Final answer
    x = 727.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.