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Finding the Fourth Proportional to 480.78, 662.72 and 364.14

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Solution

The fourth proportional to 480.78, 662.72 and 364.14 is: 501.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.78 : 662.72 = 364.14 : x
  2. Step 2: Convert to fraction form
    480.78/662.72 = 364.14/x
  3. Step 3: Cross multiply
    480.78x = 662.72 × 364.14
  4. Step 4: Simplify right side
    480.78x = 241,321.04
  5. Step 5: Solve for x
    x = 241,321.04/480.78
  6. Step 6: Final answer
    x = 501.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.