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Finding the Fourth Proportional to 488.84, 729.97 and 483.44

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Solution

The fourth proportional to 488.84, 729.97 and 483.44 is: 721.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.84 : 729.97 = 483.44 : x
  2. Step 2: Convert to fraction form
    488.84/729.97 = 483.44/x
  3. Step 3: Cross multiply
    488.84x = 729.97 × 483.44
  4. Step 4: Simplify right side
    488.84x = 352,896.70
  5. Step 5: Solve for x
    x = 352,896.70/488.84
  6. Step 6: Final answer
    x = 721.91

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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.