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Finding the Fourth Proportional to 507.09, 761.19 and 324.63

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Solution

The fourth proportional to 507.09, 761.19 and 324.63 is: 487.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.09 : 761.19 = 324.63 : x
  2. Step 2: Convert to fraction form
    507.09/761.19 = 324.63/x
  3. Step 3: Cross multiply
    507.09x = 761.19 × 324.63
  4. Step 4: Simplify right side
    507.09x = 247,105.11
  5. Step 5: Solve for x
    x = 247,105.11/507.09
  6. Step 6: Final answer
    x = 487.30

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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.