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Finding the Fourth Proportional to 485.48, 727.20 and 382.28

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Solution

The fourth proportional to 485.48, 727.20 and 382.28 is: 572.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.48 : 727.20 = 382.28 : x
  2. Step 2: Convert to fraction form
    485.48/727.20 = 382.28/x
  3. Step 3: Cross multiply
    485.48x = 727.20 × 382.28
  4. Step 4: Simplify right side
    485.48x = 277,994.02
  5. Step 5: Solve for x
    x = 277,994.02/485.48
  6. Step 6: Final answer
    x = 572.62

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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.