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Finding the Fourth Proportional to 439.20, 605.55 and 412.47

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Solution

The fourth proportional to 439.20, 605.55 and 412.47 is: 568.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.20 : 605.55 = 412.47 : x
  2. Step 2: Convert to fraction form
    439.20/605.55 = 412.47/x
  3. Step 3: Cross multiply
    439.20x = 605.55 × 412.47
  4. Step 4: Simplify right side
    439.20x = 249,771.21
  5. Step 5: Solve for x
    x = 249,771.21/439.20
  6. Step 6: Final answer
    x = 568.70

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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.