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Finding the Fourth Proportional to 500.38, 690.82 and 335.14

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Solution

The fourth proportional to 500.38, 690.82 and 335.14 is: 462.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.38 : 690.82 = 335.14 : x
  2. Step 2: Convert to fraction form
    500.38/690.82 = 335.14/x
  3. Step 3: Cross multiply
    500.38x = 690.82 × 335.14
  4. Step 4: Simplify right side
    500.38x = 231,521.41
  5. Step 5: Solve for x
    x = 231,521.41/500.38
  6. Step 6: Final answer
    x = 462.69

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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.