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Finding the Fourth Proportional to 485.23, 726.82 and 382.03

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Solution

The fourth proportional to 485.23, 726.82 and 382.03 is: 572.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.23 : 726.82 = 382.03 : x
  2. Step 2: Convert to fraction form
    485.23/726.82 = 382.03/x
  3. Step 3: Cross multiply
    485.23x = 726.82 × 382.03
  4. Step 4: Simplify right side
    485.23x = 277,667.04
  5. Step 5: Solve for x
    x = 277,667.04/485.23
  6. Step 6: Final answer
    x = 572.24

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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.