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Finding the Fourth Proportional to 509.31, 764.10 and 311.87

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Solution

The fourth proportional to 509.31, 764.10 and 311.87 is: 467.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.31 : 764.10 = 311.87 : x
  2. Step 2: Convert to fraction form
    509.31/764.10 = 311.87/x
  3. Step 3: Cross multiply
    509.31x = 764.10 × 311.87
  4. Step 4: Simplify right side
    509.31x = 238,299.87
  5. Step 5: Solve for x
    x = 238,299.87/509.31
  6. Step 6: Final answer
    x = 467.89

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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.