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Finding the Fourth Proportional to 527.62, 727.22 and 361.56

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Solution

The fourth proportional to 527.62, 727.22 and 361.56 is: 498.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.62 : 727.22 = 361.56 : x
  2. Step 2: Convert to fraction form
    527.62/727.22 = 361.56/x
  3. Step 3: Cross multiply
    527.62x = 727.22 × 361.56
  4. Step 4: Simplify right side
    527.62x = 262,933.66
  5. Step 5: Solve for x
    x = 262,933.66/527.62
  6. Step 6: Final answer
    x = 498.34

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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.