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Finding the Fourth Proportional to 638.48, 959.43 and 346.20

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Solution

The fourth proportional to 638.48, 959.43 and 346.20 is: 520.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.48 : 959.43 = 346.20 : x
  2. Step 2: Convert to fraction form
    638.48/959.43 = 346.20/x
  3. Step 3: Cross multiply
    638.48x = 959.43 × 346.20
  4. Step 4: Simplify right side
    638.48x = 332,152.37
  5. Step 5: Solve for x
    x = 332,152.37/638.48
  6. Step 6: Final answer
    x = 520.22

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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.