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Finding the Fourth Proportional to 527.56, 727.96 and 306.46

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Solution

The fourth proportional to 527.56, 727.96 and 306.46 is: 422.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.56 : 727.96 = 306.46 : x
  2. Step 2: Convert to fraction form
    527.56/727.96 = 306.46/x
  3. Step 3: Cross multiply
    527.56x = 727.96 × 306.46
  4. Step 4: Simplify right side
    527.56x = 223,090.62
  5. Step 5: Solve for x
    x = 223,090.62/527.56
  6. Step 6: Final answer
    x = 422.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.