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Finding the Fourth Proportional to 662.72, 992.02 and 353.80

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Solution

The fourth proportional to 662.72, 992.02 and 353.80 is: 529.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.72 : 992.02 = 353.80 : x
  2. Step 2: Convert to fraction form
    662.72/992.02 = 353.80/x
  3. Step 3: Cross multiply
    662.72x = 992.02 × 353.80
  4. Step 4: Simplify right side
    662.72x = 350,976.68
  5. Step 5: Solve for x
    x = 350,976.68/662.72
  6. Step 6: Final answer
    x = 529.60

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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.