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Finding the Fourth Proportional to 439.55, 609.36 and 416.14

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Solution

The fourth proportional to 439.55, 609.36 and 416.14 is: 576.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.55 : 609.36 = 416.14 : x
  2. Step 2: Convert to fraction form
    439.55/609.36 = 416.14/x
  3. Step 3: Cross multiply
    439.55x = 609.36 × 416.14
  4. Step 4: Simplify right side
    439.55x = 253,578.27
  5. Step 5: Solve for x
    x = 253,578.27/439.55
  6. Step 6: Final answer
    x = 576.91

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.