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Finding the Fourth Proportional to 482.72, 726.52 and 361.60

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Solution

The fourth proportional to 482.72, 726.52 and 361.60 is: 544.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.72 : 726.52 = 361.60 : x
  2. Step 2: Convert to fraction form
    482.72/726.52 = 361.60/x
  3. Step 3: Cross multiply
    482.72x = 726.52 × 361.60
  4. Step 4: Simplify right side
    482.72x = 262,709.63
  5. Step 5: Solve for x
    x = 262,709.63/482.72
  6. Step 6: Final answer
    x = 544.23

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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.