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Finding the Fourth Proportional to 527.56, 792.78 and 311.20

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Solution

The fourth proportional to 527.56, 792.78 and 311.20 is: 467.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.56 : 792.78 = 311.20 : x
  2. Step 2: Convert to fraction form
    527.56/792.78 = 311.20/x
  3. Step 3: Cross multiply
    527.56x = 792.78 × 311.20
  4. Step 4: Simplify right side
    527.56x = 246,713.14
  5. Step 5: Solve for x
    x = 246,713.14/527.56
  6. Step 6: Final answer
    x = 467.65

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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.