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Finding the Fourth Proportional to 609.38, 913.62 and 427.10

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Solution

The fourth proportional to 609.38, 913.62 and 427.10 is: 640.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.38 : 913.62 = 427.10 : x
  2. Step 2: Convert to fraction form
    609.38/913.62 = 427.10/x
  3. Step 3: Cross multiply
    609.38x = 913.62 × 427.10
  4. Step 4: Simplify right side
    609.38x = 390,207.10
  5. Step 5: Solve for x
    x = 390,207.10/609.38
  6. Step 6: Final answer
    x = 640.33

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Why These Related Problems?

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