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Finding the Fourth Proportional to 441.54, 609.35 and 310.59

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Solution

The fourth proportional to 441.54, 609.35 and 310.59 is: 428.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.54 : 609.35 = 310.59 : x
  2. Step 2: Convert to fraction form
    441.54/609.35 = 310.59/x
  3. Step 3: Cross multiply
    441.54x = 609.35 × 310.59
  4. Step 4: Simplify right side
    441.54x = 189,256.46
  5. Step 5: Solve for x
    x = 189,256.46/441.54
  6. Step 6: Final answer
    x = 428.63

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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.