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Finding the Fourth Proportional to 439.46, 605.28 and 406.62

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Solution

The fourth proportional to 439.46, 605.28 and 406.62 is: 560.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.46 : 605.28 = 406.62 : x
  2. Step 2: Convert to fraction form
    439.46/605.28 = 406.62/x
  3. Step 3: Cross multiply
    439.46x = 605.28 × 406.62
  4. Step 4: Simplify right side
    439.46x = 246,118.95
  5. Step 5: Solve for x
    x = 246,118.95/439.46
  6. Step 6: Final answer
    x = 560.05

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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.