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Finding the Fourth Proportional to 638.84, 959.48 and 365.46

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Solution

The fourth proportional to 638.84, 959.48 and 365.46 is: 548.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.84 : 959.48 = 365.46 : x
  2. Step 2: Convert to fraction form
    638.84/959.48 = 365.46/x
  3. Step 3: Cross multiply
    638.84x = 959.48 × 365.46
  4. Step 4: Simplify right side
    638.84x = 350,649.73
  5. Step 5: Solve for x
    x = 350,649.73/638.84
  6. Step 6: Final answer
    x = 548.89

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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.