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Finding the Fourth Proportional to 500.33, 690.42 and 290.47

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Solution

The fourth proportional to 500.33, 690.42 and 290.47 is: 400.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.33 : 690.42 = 290.47 : x
  2. Step 2: Convert to fraction form
    500.33/690.42 = 290.47/x
  3. Step 3: Cross multiply
    500.33x = 690.42 × 290.47
  4. Step 4: Simplify right side
    500.33x = 200,546.30
  5. Step 5: Solve for x
    x = 200,546.30/500.33
  6. Step 6: Final answer
    x = 400.83

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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.