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Finding the Fourth Proportional to 482.30, 727.19 and 441.80

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Solution

The fourth proportional to 482.30, 727.19 and 441.80 is: 666.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.30 : 727.19 = 441.80 : x
  2. Step 2: Convert to fraction form
    482.30/727.19 = 441.80/x
  3. Step 3: Cross multiply
    482.30x = 727.19 × 441.80
  4. Step 4: Simplify right side
    482.30x = 321,270.01
  5. Step 5: Solve for x
    x = 321,270.01/482.30
  6. Step 6: Final answer
    x = 666.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.