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Finding the Fourth Proportional to 527.86, 791.11 and 382.11

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Solution

The fourth proportional to 527.86, 791.11 and 382.11 is: 572.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.86 : 791.11 = 382.11 : x
  2. Step 2: Convert to fraction form
    527.86/791.11 = 382.11/x
  3. Step 3: Cross multiply
    527.86x = 791.11 × 382.11
  4. Step 4: Simplify right side
    527.86x = 302,291.04
  5. Step 5: Solve for x
    x = 302,291.04/527.86
  6. Step 6: Final answer
    x = 572.67

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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.