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Finding the Fourth Proportional to 527.67, 728.06 and 361.80

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Solution

The fourth proportional to 527.67, 728.06 and 361.80 is: 499.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.67 : 728.06 = 361.80 : x
  2. Step 2: Convert to fraction form
    527.67/728.06 = 361.80/x
  3. Step 3: Cross multiply
    527.67x = 728.06 × 361.80
  4. Step 4: Simplify right side
    527.67x = 263,410.30
  5. Step 5: Solve for x
    x = 263,410.30/527.67
  6. Step 6: Final answer
    x = 499.20

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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.