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Finding the Fourth Proportional to 485.40, 729.75 and 483

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Solution

The fourth proportional to 485.40, 729.75 and 483 is: 726.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.40 : 729.75 = 483 : x
  2. Step 2: Convert to fraction form
    485.40/729.75 = 483/x
  3. Step 3: Cross multiply
    485.40x = 729.75 × 483
  4. Step 4: Simplify right side
    485.40x = 352,469.25
  5. Step 5: Solve for x
    x = 352,469.25/485.40
  6. Step 6: Final answer
    x = 726.14

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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.