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Finding the Fourth Proportional to 439.72, 659.84 and 405.89

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Solution

The fourth proportional to 439.72, 659.84 and 405.89 is: 609.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.72 : 659.84 = 405.89 : x
  2. Step 2: Convert to fraction form
    439.72/659.84 = 405.89/x
  3. Step 3: Cross multiply
    439.72x = 659.84 × 405.89
  4. Step 4: Simplify right side
    439.72x = 267,819.60
  5. Step 5: Solve for x
    x = 267,819.60/439.72
  6. Step 6: Final answer
    x = 609.07

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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.