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Finding the Fourth Proportional to 480.88, 721.64 and 365.46

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Solution

The fourth proportional to 480.88, 721.64 and 365.46 is: 548.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.88 : 721.64 = 365.46 : x
  2. Step 2: Convert to fraction form
    480.88/721.64 = 365.46/x
  3. Step 3: Cross multiply
    480.88x = 721.64 × 365.46
  4. Step 4: Simplify right side
    480.88x = 263,730.55
  5. Step 5: Solve for x
    x = 263,730.55/480.88
  6. Step 6: Final answer
    x = 548.43

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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.