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Finding the Fourth Proportional to 440.79, 609.17 and 353.31

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Solution

The fourth proportional to 440.79, 609.17 and 353.31 is: 488.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.79 : 609.17 = 353.31 : x
  2. Step 2: Convert to fraction form
    440.79/609.17 = 353.31/x
  3. Step 3: Cross multiply
    440.79x = 609.17 × 353.31
  4. Step 4: Simplify right side
    440.79x = 215,224.09
  5. Step 5: Solve for x
    x = 215,224.09/440.79
  6. Step 6: Final answer
    x = 488.27

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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.