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Finding the Fourth Proportional to 527.25, 727.41 and 361.47

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Solution

The fourth proportional to 527.25, 727.41 and 361.47 is: 498.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.25 : 727.41 = 361.47 : x
  2. Step 2: Convert to fraction form
    527.25/727.41 = 361.47/x
  3. Step 3: Cross multiply
    527.25x = 727.41 × 361.47
  4. Step 4: Simplify right side
    527.25x = 262,936.89
  5. Step 5: Solve for x
    x = 262,936.89/527.25
  6. Step 6: Final answer
    x = 498.69

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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.