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Finding the Fourth Proportional to 527.08, 791.58 and 382.12

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Solution

The fourth proportional to 527.08, 791.58 and 382.12 is: 573.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.08 : 791.58 = 382.12 : x
  2. Step 2: Convert to fraction form
    527.08/791.58 = 382.12/x
  3. Step 3: Cross multiply
    527.08x = 791.58 × 382.12
  4. Step 4: Simplify right side
    527.08x = 302,478.55
  5. Step 5: Solve for x
    x = 302,478.55/527.08
  6. Step 6: Final answer
    x = 573.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.