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Finding the Fourth Proportional to 480.52, 721.50 and 389.80

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Solution

The fourth proportional to 480.52, 721.50 and 389.80 is: 585.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.52 : 721.50 = 389.80 : x
  2. Step 2: Convert to fraction form
    480.52/721.50 = 389.80/x
  3. Step 3: Cross multiply
    480.52x = 721.50 × 389.80
  4. Step 4: Simplify right side
    480.52x = 281,240.70
  5. Step 5: Solve for x
    x = 281,240.70/480.52
  6. Step 6: Final answer
    x = 585.28

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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.