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Finding the Fourth Proportional to 500.38, 690.66 and 325.69

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Solution

The fourth proportional to 500.38, 690.66 and 325.69 is: 449.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.38 : 690.66 = 325.69 : x
  2. Step 2: Convert to fraction form
    500.38/690.66 = 325.69/x
  3. Step 3: Cross multiply
    500.38x = 690.66 × 325.69
  4. Step 4: Simplify right side
    500.38x = 224,939.33
  5. Step 5: Solve for x
    x = 224,939.33/500.38
  6. Step 6: Final answer
    x = 449.54

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1.5x scale

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.