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Finding the Fourth Proportional to 441.69, 609.66 and 310.74

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Solution

The fourth proportional to 441.69, 609.66 and 310.74 is: 428.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.69 : 609.66 = 310.74 : x
  2. Step 2: Convert to fraction form
    441.69/609.66 = 310.74/x
  3. Step 3: Cross multiply
    441.69x = 609.66 × 310.74
  4. Step 4: Simplify right side
    441.69x = 189,445.75
  5. Step 5: Solve for x
    x = 189,445.75/441.69
  6. Step 6: Final answer
    x = 428.91

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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.