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Finding the Fourth Proportional to 527.23, 789.27 and 380.65

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Solution

The fourth proportional to 527.23, 789.27 and 380.65 is: 569.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.23 : 789.27 = 380.65 : x
  2. Step 2: Convert to fraction form
    527.23/789.27 = 380.65/x
  3. Step 3: Cross multiply
    527.23x = 789.27 × 380.65
  4. Step 4: Simplify right side
    527.23x = 300,435.63
  5. Step 5: Solve for x
    x = 300,435.63/527.23
  6. Step 6: Final answer
    x = 569.84

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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.