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Finding the Fourth Proportional to 462.89, 639.42 and 375.41

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Solution

The fourth proportional to 462.89, 639.42 and 375.41 is: 518.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.89 : 639.42 = 375.41 : x
  2. Step 2: Convert to fraction form
    462.89/639.42 = 375.41/x
  3. Step 3: Cross multiply
    462.89x = 639.42 × 375.41
  4. Step 4: Simplify right side
    462.89x = 240,044.66
  5. Step 5: Solve for x
    x = 240,044.66/462.89
  6. Step 6: Final answer
    x = 518.58

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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.