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Finding the Fourth Proportional to 509.44, 764.16 and 381.76

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Solution

The fourth proportional to 509.44, 764.16 and 381.76 is: 572.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.44 : 764.16 = 381.76 : x
  2. Step 2: Convert to fraction form
    509.44/764.16 = 381.76/x
  3. Step 3: Cross multiply
    509.44x = 764.16 × 381.76
  4. Step 4: Simplify right side
    509.44x = 291,725.72
  5. Step 5: Solve for x
    x = 291,725.72/509.44
  6. Step 6: Final answer
    x = 572.64

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Similar ratio
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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.