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Finding the Fourth Proportional to 415.02, 620.91 and 344.82

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Solution

The fourth proportional to 415.02, 620.91 and 344.82 is: 515.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.02 : 620.91 = 344.82 : x
  2. Step 2: Convert to fraction form
    415.02/620.91 = 344.82/x
  3. Step 3: Cross multiply
    415.02x = 620.91 × 344.82
  4. Step 4: Simplify right side
    415.02x = 214,102.19
  5. Step 5: Solve for x
    x = 214,102.19/415.02
  6. Step 6: Final answer
    x = 515.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.