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Finding the Fourth Proportional to 500.09, 689.81 and 325.42

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Solution

The fourth proportional to 500.09, 689.81 and 325.42 is: 448.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.09 : 689.81 = 325.42 : x
  2. Step 2: Convert to fraction form
    500.09/689.81 = 325.42/x
  3. Step 3: Cross multiply
    500.09x = 689.81 × 325.42
  4. Step 4: Simplify right side
    500.09x = 224,474.62
  5. Step 5: Solve for x
    x = 224,474.62/500.09
  6. Step 6: Final answer
    x = 448.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.