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Finding the Fourth Proportional to 509.73, 764 and 217.05

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Solution

The fourth proportional to 509.73, 764 and 217.05 is: 325.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.73 : 764 = 217.05 : x
  2. Step 2: Convert to fraction form
    509.73/764 = 217.05/x
  3. Step 3: Cross multiply
    509.73x = 764 × 217.05
  4. Step 4: Simplify right side
    509.73x = 165,826.20
  5. Step 5: Solve for x
    x = 165,826.20/509.73
  6. Step 6: Final answer
    x = 325.32

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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.