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Finding the Fourth Proportional to 439.98, 655.56 and 412.62

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Solution

The fourth proportional to 439.98, 655.56 and 412.62 is: 614.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.98 : 655.56 = 412.62 : x
  2. Step 2: Convert to fraction form
    439.98/655.56 = 412.62/x
  3. Step 3: Cross multiply
    439.98x = 655.56 × 412.62
  4. Step 4: Simplify right side
    439.98x = 270,497.17
  5. Step 5: Solve for x
    x = 270,497.17/439.98
  6. Step 6: Final answer
    x = 614.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.