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Finding the Fourth Proportional to 504.37, 759.28 and 361.09

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Solution

The fourth proportional to 504.37, 759.28 and 361.09 is: 543.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.37 : 759.28 = 361.09 : x
  2. Step 2: Convert to fraction form
    504.37/759.28 = 361.09/x
  3. Step 3: Cross multiply
    504.37x = 759.28 × 361.09
  4. Step 4: Simplify right side
    504.37x = 274,168.42
  5. Step 5: Solve for x
    x = 274,168.42/504.37
  6. Step 6: Final answer
    x = 543.59

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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.