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Finding the Fourth Proportional to 609.01, 913.67 and 349.13

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Solution

The fourth proportional to 609.01, 913.67 and 349.13 is: 523.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.01 : 913.67 = 349.13 : x
  2. Step 2: Convert to fraction form
    609.01/913.67 = 349.13/x
  3. Step 3: Cross multiply
    609.01x = 913.67 × 349.13
  4. Step 4: Simplify right side
    609.01x = 318,987.86
  5. Step 5: Solve for x
    x = 318,987.86/609.01
  6. Step 6: Final answer
    x = 523.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.