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Finding the Fourth Proportional to 509.21, 762.75 and 325.67

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Solution

The fourth proportional to 509.21, 762.75 and 325.67 is: 487.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.21 : 762.75 = 325.67 : x
  2. Step 2: Convert to fraction form
    509.21/762.75 = 325.67/x
  3. Step 3: Cross multiply
    509.21x = 762.75 × 325.67
  4. Step 4: Simplify right side
    509.21x = 248,403.16
  5. Step 5: Solve for x
    x = 248,403.16/509.21
  6. Step 6: Final answer
    x = 487.82

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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.