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Finding the Fourth Proportional to 439.24, 659.12 and 405.42

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Solution

The fourth proportional to 439.24, 659.12 and 405.42 is: 608.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.24 : 659.12 = 405.42 : x
  2. Step 2: Convert to fraction form
    439.24/659.12 = 405.42/x
  3. Step 3: Cross multiply
    439.24x = 659.12 × 405.42
  4. Step 4: Simplify right side
    439.24x = 267,220.43
  5. Step 5: Solve for x
    x = 267,220.43/439.24
  6. Step 6: Final answer
    x = 608.37

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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.