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Finding the Fourth Proportional to 527.58, 792.20 and 311.30

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Solution

The fourth proportional to 527.58, 792.20 and 311.30 is: 467.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.58 : 792.20 = 311.30 : x
  2. Step 2: Convert to fraction form
    527.58/792.20 = 311.30/x
  3. Step 3: Cross multiply
    527.58x = 792.20 × 311.30
  4. Step 4: Simplify right side
    527.58x = 246,611.86
  5. Step 5: Solve for x
    x = 246,611.86/527.58
  6. Step 6: Final answer
    x = 467.44

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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.