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Finding the Fourth Proportional to 527.94, 792.60 and 423.88

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Solution

The fourth proportional to 527.94, 792.60 and 423.88 is: 636.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.94 : 792.60 = 423.88 : x
  2. Step 2: Convert to fraction form
    527.94/792.60 = 423.88/x
  3. Step 3: Cross multiply
    527.94x = 792.60 × 423.88
  4. Step 4: Simplify right side
    527.94x = 335,965.31
  5. Step 5: Solve for x
    x = 335,965.31/527.94
  6. Step 6: Final answer
    x = 636.37

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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.