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Finding the Fourth Proportional to 482.30, 723.09 and 385.82

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Solution

The fourth proportional to 482.30, 723.09 and 385.82 is: 578.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.30 : 723.09 = 385.82 : x
  2. Step 2: Convert to fraction form
    482.30/723.09 = 385.82/x
  3. Step 3: Cross multiply
    482.30x = 723.09 × 385.82
  4. Step 4: Simplify right side
    482.30x = 278,982.58
  5. Step 5: Solve for x
    x = 278,982.58/482.30
  6. Step 6: Final answer
    x = 578.44

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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.